CBSE Class 12 Mathematics Board Question Paper 2026 Set-1

Question Papers Class 12 PDF

This is the CBSE Class 12 Mathematics Previous Year Question Paper for the 2026 examination, Set-1. The paper is designed for a duration of 3 hours and carries a maximum of 80 marks. It contains a total of 38 questions divided into five sections: Section A, B, C, D, and E. Section A comprises 20 multiple-choice questions and 2 assertion-reasoning questions, each worth 1 mark. Section B includes 5 Very Short Answer (VSA) type questions, each carrying 2 marks. Section C consists of 6 Short Answer (SA) type questions, each worth 3 marks. Section D features 4 Long Answer (LA) type questions, each carrying 5 marks. Section E contains 3 case study-based questions, each worth 4 marks. While there are no overall choices, internal choices are provided in some questions across sections B to E. Solving this previous year's question paper is crucial for students to understand the exam pattern, identify important topics, and enhance their problem-solving skills for the board exams.

Quick info

BoardCBSE
Class12
SubjectMathematics
Session2026
LanguageHindi
TypePrevious Year Question Paper
Exam typeBoard Exam

Topics covered

Paper topics

  • Sets
  • Relations
  • Matrices
  • Functions
  • Inverse Trigonometric Functions
  • Calculus
  • Vectors
  • 3D Geometry
  • Linear Programming
  • Probability
  • Matrices and Determinants
  • Continuity and Differentiability
  • Indefinite and Definite Integrals
  • Differential Equations
  • Vector Algebra
  • Three Dimensional Geometry
  • Linear Programming Problems
  • Probability Distributions
  • Inverse Trigonometric Functions
  • Applications of Integrals
  • Applications of Derivatives
  • Vector and Scalar Triple Product
  • Bayes' Theorem
  • Conditional Probability
  • Properties of Determinants
  • Properties of Relations and Functions
  • Types of Matrices
  • Types of Functions
  • Properties of Inverse Trigonometric Functions
  • Limits and Continuity
  • Differentiability
  • Mean Value Theorems
  • Indefinite Integrals
  • Definite Integrals
  • Area Under Curves
  • Differential Equations and their Order and Degree
  • Formation of Differential Equations
  • Homogeneous Differential Equations
  • Direction Cosines and Direction Ratios
  • The Plane
  • The Line
  • The Skew Lines
  • The Angle Between Two Lines
  • The Angle Between Two Planes
  • The Angle Between a Line and a Plane
  • The Shortest Distance Between Two Skew Lines
  • The Equation of a Plane Passing Through Three Non-Collinear Points
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes
  • The Equation of a Plane Passing Through the Intersection of Two Given Lines
  • The Equation of a Plane Passing Through a Point and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through a Point and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through Two Given Points and Perpendicular to a Given Plane
  • The Equation of a Plane Passing Through a Point and Containing a Given Line
  • The Equation of a Plane Passing Through Two Given Points and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and a Given Point
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing a Given Line
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Perpendicular to Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Containing Two Given Lines
  • The Equation of a Plane Passing Through the Intersection of Two Given Planes and Parallel to a Given Plane

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Question paper text

Series: PQSR2 * रोल नं.

Roll No.

Candidates must write the Q.P. Code

on the title page of the answer-book.

गणित MATHEMATICS निर्धारित समय : 3 घण्टे

Time allowed: 3 hours

अधिकतम अंक : 80

Maximum Marks: 80

कृपया जाँच कर लें कि इस प्रश्न-पत्र में मुद्रित पृष्ठ 23 हैं।

प्रश्न-पत्र में दाहिने हाथ की ओर दिए गए प्रश्न-पत्र कोड को परीक्षार्थी उत्तर-पुस्तिका के मुख-पृष्ठ पर लिखें।

कृपया जाँच कर लें कि इस प्रश्न-पत्र में 38 प्रश्न हैं।

कृपया प्रश्न का उत्तर लिखना शुरू करने से पहले, उत्तर-पुस्तिका में यथा स्थान पर प्रश्न का क्रमांक अवश्य लिखें।

इस प्रश्न-पत्र को पढ़ने के लिए 15 मिनट का समय दिया गया है । प्रश्न-पत्र का वितरण पूर्वाह्न में 10.15 बजे किया जाएगा । 10.15 बजे से 10.30 बजे तक परीक्षार्थी केवल प्रश्न-पत्र को पढ़ेंगे और इस अविध के दौरान वे उत्तर-पुस्तिका पर कोई उत्तर नहीं लिखेंगे।

Please check that this question paper contains 23 printed pages.

Q.P. Code given on the right hand side of the question paper should be written on the title page of the answer-book by the candidate.

Please check that this question paper contains 38 questions.

Please write down the serial number of the question in the answer- book at the given place before attempting it.

15 minute time has been allotted to read this question paper. The question paper will be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the candidates will read the question paper only and will not write any answer on the answer-book during this period. { }

2414-1 65/2/1 P.T.O.

<math>\mathscr{H}</math>

सामान्य निर्देश:

निम्नलिखित निर्देशों को बहुत सावधानी से पढ़िए और उनका सख़्ती से पालन कीजिए :

(i) इस प्रश्न-पत्र में कुल 38 प्रश्न हैं । सभी प्रश्न अनिवार्य हैं ।

  1. यह प्रश्न-पत्र पाँच खण्डों में विभाजित है – खण्ड-क, ख, ग, घ एवं ङ।
  2. खण्ड – क में प्रश्न संख्या 1 से 18 तक बहुविकल्पीय तथा प्रश्न संख्या 19 एवं 20 अभिकथन एवं तर्क आधारित 1 अंक के प्रश्न हैं।
  3. खण्ड – ख में प्रश्न संख्या 21 से 25 तक अति लघु – उत्तरीय (VSA) प्रकार के 2 अंकों के प्रश्न हैं।
  4. खण्ड – ग में प्रश्न संख्या 26 से 31 तक लघु – उत्तरीय (SA) प्रकार के 3 अंकों के प्रश्न हैं।
  5. खण्ड – घ में प्रश्न संख्या <math>\bm{32}</math> से <math>\bm{35}</math> तक दीर्घ – उत्तरीय (LA) प्रकार के <math>\bm{5}</math> अंकों के प्रश्न हैं।
  6. खण्ड – ङ में प्रश्न संख्या 36 से 38 प्रकरण अध्ययन आधारित 4 अंकों के प्रश्न हैं।
  7. प्रश्न-पत्र में समग्र विकल्प नहीं दिया गया है। यद्यपि, खण्ड – क के अतिरिक्त अन्य खण्डों के कुछ प्रश्नों में आंतरिक विकल्प दिया गया है।
  8. कैल्कुलेटर का उपयोग वर्जित है।

खण्ड – क

इस खण्ड में 20 बह्विकल्पीय प्रश्न हैं। प्रत्येक प्रश्न 1 अंक का है।

  1. समुच्चय <math>A = \{1, 2, 3\}</math> पर <math>R = \{(1, 1), (2, 2), (1, 2)\}</math> द्वारा प्रदत संबंध R 1
  1. केवल स्वत्लय है। (B) स्वतुल्य तथा संक्रामक है।
  2. सममित तथा संक्रामक है। (D) केवल संक्रामक है।
  1. यदि A तथा B समान कोटि के वर्ग आव्यूह हैं, तो निम्न में से कौन सा/से कथन सदैव सत्य है/हैं ? 1
  2. <math>(A + B) (A - B) = A^2 - B^2</math>
  3. <math>AB = BA</math>
  4. <math>(A + B)^2 = A^2 + AB + BA + B^2</math>
  1. <math>AB = 0 \Rightarrow A = 0 \text{ or } B = 0</math>
  2. केवल (i) तथा (iii) केवल (ii) तथा (iii)
  1. केवल (iii) (D) केवल (iii) तथा (iv)

65/2/1 * 2

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