CBSE Class 12 Mathematics Previous Year Question Paper 2022 (65/2/1) Set-1

Question Papers Class 12 PDF

This is the CBSE Class 12 Mathematics Previous Year Question Paper for Term-II, 2022, Set 1 (QP Code 65/2/1). The paper is designed for a duration of 2 hours and carries a maximum of 40 marks. It is divided into three compulsory sections: Section A, Section B, and Section C. Section A contains 6 short answer type questions, each worth 2 marks. Section B includes 4 short answer type questions, each carrying 3 marks. Section C comprises 4 long answer type questions, with each question valued at 4 marks. Some questions offer internal choices. Notably, Question 14 is a case-study-based question with two parts, each carrying 2 marks. Solving this board question paper is crucial for students to understand the exam pattern, identify important topics, and enhance their performance in the upcoming board examinations.

Quick info

BoardCBSE
Class12
SubjectMaths
Session2022
LanguageHindi
TypePrevious Year Question Paper
Exam typeBoard Exam

Paper pattern

The question paper has three sections (A, B, C) with a total of 14 questions. Section A has 6 questions (2 marks each), Section B has 4 questions (3 marks each), and Section C has 4 questions (4 marks each).

Topics covered

Paper topics

  • Differential Equations
  • Integration
  • Vectors

Important topics

  • Order and Degree of Differential Equations
  • Integration of Trigonometric and Exponential Functions
  • Angle between Vectors

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Question paper text

Set No. 1

Series ABCD1/2

अनुक्रमाक

Roll No.

प्रश्न-पत्र कोड<br>Q.P. Code 65/2/1

परीक्षार्थी प्रश्न-पत्र कोड को उत्तर-पुस्तिका के

मुख-पृष्ठ पर अवश्य लिखें

Candidates must write the Q.P. Code

on the title page of the answer-book.

कृपया जाँच कर लें कि इस प्रश्न-पत्र में मुद्रित पृष्ठ 7 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 14 प्रश्न हैं।

कृपया प्रश्न का उत्तर लिखना शुरू करने से पहले, उत्तर-पुस्तिका में 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 छात्र केवल प्रश्न-पत्र को पढ़ेंगे और इस अवधि के दौरान वे उत्तर-पुस्तिका पर कोई उत्तर नहीं लिखेंगे।

  • Please check that this question paper contains 7 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 14 questions.

Please write down the serial number of the question in the answer-book 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 students will read the question paper only and will not write any answer on the answer-book during this period.

MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEMATICS MATHEM

MATHEMATICS

निर्धारित समय : 2 घण्टे

<math>Time\ allowed: 2\ hours</math>

अधिकतम अंक : 40

P.T.O.

65/2/1

Page 1 of 7

Maximum Marks: 40

सामान्य निर्देश:

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

  1. इस प्रश्न-पत्र के तीन खण्ड हैं – खण्ड क, ख तथा /
  2. प्रत्येक खण्ड अनिवार्य है ।
  3. खण्ड क में 6 लघु उत्तर I प्रकार के प्रश्न हैं जिनमें प्रत्येक के 2 अंक हैं।
  4. खण्ड ख में 4 लघु उत्तर II प्रकार के प्रश्न हैं जिनमें प्रत्येक के 3 अंक हैं।
  5. खण्ड ग में 4 दीर्घ-उत्तरीय प्रकार के प्रश्न हैं जिनमें प्रत्येक के 4 अंक हैं।
  6. ुकुछ प्रश्नों में आंतरिक विकल्प दिया गया है।
  7. प्रश्न सं. 14 एक प्रकरण-अध्ययन आधारित प्रश्न है जिसमें दो भाग हैं। प्रत्येक भाग के 2 अंक हैं /

खण्ड क

प्रश्न संख्या 1 से 6 तक प्रत्येक प्रश्न के 2 अंक हैं।

अवकल समीकरण

<math>\left| \frac{\mathrm{d}}{\mathrm{d}\mathbf{x}} (\mathbf{x}\mathbf{y}^2) \right| \cdot \frac{\mathrm{d}\mathbf{y}}{\mathrm{d}\mathbf{x}} + \mathbf{y} = 0</math>

की कोटि और घात का गुणनफल ज्ञात कीजिए। 2 2. (क) ज्ञात कीजिए: 2 <math display="block">\int \frac{\sin 3x}{\sin x} \, dx</math>

अथवा

(碅) मान ज्ञात कीजिए: 2 <math>\frac{1}{2}\log 3</math> <math display="block">\int \frac{e^x}{e^{2x} + 1} \, dx</math>

  1. दो मात्रक सिंदशों <math>\overrightarrow{a}</math> और <math>\overrightarrow{b}</math> के लिए <math>|2\overrightarrow{a} + 3\overrightarrow{b}| = |3\overrightarrow{a} - 2\overrightarrow{b}|</math> है । <math>\overrightarrow{a}</math> तथा <math>\overrightarrow{b}</math> के बीच का कोण ज्ञात कीजिए।

2 65/2/1

Page 2 of 7

Frequently asked questions

What is this document?

This is a CBSE Class 12 Mathematics Previous Year Board Question Paper from the 2022 Term-II examination, Set 1.

What is the structure of the paper?

The paper is divided into three sections (A, B, C) with a total of 14 questions. Section A has 6 questions (2 marks each), Section B has 4 questions (3 marks each), and Section C has 4 questions (4 marks each). Question 14 is case-study based.

What is the duration and maximum marks?

The exam is for 2 hours and the maximum marks are 40.

How can solving this paper help students?

Solving this previous year question paper helps students understand the CBSE exam pattern, identify important topics, and improve their time management and problem-solving skills for the board exams.

What subjects are covered in this paper?

This paper covers topics from the CBSE Class 12 Mathematics syllabus, including differential equations, integration, and vectors, as indicated by the sample questions.

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