CBSE Class 12 Mathematics Previous Year Question Paper 2017 (Set-2)
This is the CBSE Class 12 Mathematics Previous Year Question Paper from the 2017 Main Exams, Set-2. The paper is divided into four sections: Section A (questions 1-4) contains very short-answer type questions worth 1 mark each. Section B (questions 5-12) has short-answer type questions carrying 2 marks each. Section C (questions 13-23) features long-answer I type questions with 4 marks each. Finally, Section D (questions 24-29) comprises long-answer II type questions, each worth 6 marks. The entire paper contains 29 questions and is designed to be completed in 3 hours, with a maximum score of 100 marks. Solving this board question paper is crucial for students to understand the exam pattern, identify important topics, and enhance their preparation for the upcoming board examinations.
Quick info
| Board | CBSE |
|---|---|
| Class | 12 |
| Subject | Mathematics |
| Session | 2017 |
| Language | Hindi |
| Type | Previous Year Question Paper |
| Exam type | Board Exam |
Paper pattern
The paper contains 29 questions divided into four sections: Section A (1 mark each), Section B (2 marks each), Section C (4 marks each), and Section D (6 marks each).
Topics covered
Paper topics
- Coordinate Geometry
- Calculus
- Matrices and Determinants
- Continuity and Differentiability
Important topics
- Direction Cosines
- Definite Integrals
- Inverse Matrices
- Continuity of Functions
PDF preview
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Question paper text
SET - 2
Series: GBM/1
कोड नं.
रोल नं.
परीक्षार्थी कोड को उत्तर-पुस्तिका के मुख-पृष्ट
पर अवश्य लिखें ।
Roll No.
Code No.
65/1/2
Candidates must write the Code on
the title page of the answer-book.
कृपया जाँच कर लें कि इस प्रश्न-पत्र में मुद्रित पृष्ट 8 हैं ।
प्रश्न-पत्र में दाहिने हाथ की ओर दिए गए कोड नम्बर को छात्र उत्तर-पुस्तिका के मुख-पृष्ठ पर लिखें ।
कृपया जाँच कर लें कि इस प्रश्न-पत्र में 29 प्रश्न हैं।
कृपया प्रश्न का उत्तर लिखना शुरू करने से पहले, 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 जायेगा । 10.15 बजे से 10.30 बजे तक छात्र केवल प्रश्न-पत्र पहेंगे और इस अवधि के दौरान वे उत्तर-पुस्तिका पर कोई उत्तर नहीं लिखेंगे ।
Please check that this question paper contains 8 printed pages.
Code number 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 29 questions.
- Please write down the Serial Number of the question 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.
गणित
MATHEMATICS
निर्धारित समय : 3 घण्टे
अधिकतम अंक : 100
Time allowed: 3 hours
Maximum Marks: 100
सामान्य निर्देश:
(i) सभी प्रश्न अनिवार्य हैं ।
- इस प्रश्न-पत्र में 29 प्रश्न हैं।
- खण्ड अ के प्रश्न 1 – 4 तक अति लघु-उत्तर वाले प्रश्न हैं और प्रत्येक प्रश्न के लिए 1 अंक निर्धारित है।
- खण्ड ब के प्रश्न 5 – 12 तक लघु-उत्तर प्रकार के प्रश्न हैं और प्रत्येक प्रश्न के लिए 2 अंक निर्धारित हैं ।
- खण्ड स के प्रश्न 13 – 23 तक दीर्घ-उत्तर I प्रकार के प्रश्न हैं और प्रत्येक प्रश्न के लिए 4 अंक निर्धारित हैं ।
- खण्ड द के प्रश्न 24 – 29 तक दीर्घ-उत्तर प्रकार के प्रश्न हैं और प्रत्येक प्रश्न के लिए 6 अंक निर्धारित हैं ।
65/1/2
[P.T.O. 1
General Instructions:
- All questions are compulsory.
- This question paper contains 29 questions.
- Questions 1-4 in Section A are very short-answer type questions carrying 1 mark each.
- Questions 5-12 in Section B are short-answer type questions carrying 2 marks each.
- Questions 13-23 in Section C are long-answer I type questions carrying 4 marks each.
- Questions 24-29 in Section D are long-answer II type questions carrying 6 marks each.
खण्ड – अ
SECTION - A
प्रश्न संख्या 1 से 4 तक प्रत्येक प्रश्न 1 अंक का है ।
Question numbers 1 to 4 carry 1 mark each.
- यदि एक रेखा x तथा y अक्षों की धनात्मक दिशा के साथ क्रमश: <math>90^\circ</math> तथा <math>60^\circ</math> के कोण बनाती है, तो ज्ञात कीजिए वह z-अक्ष की धनात्मक दिशा के साथ कितना कोण बनाती है। If a line makes angles 90° and 60° respectively with the positive directions of x and y axes, find the angle which it makes with the positive direction of z-axis.
2. मान ज्ञात कीजिए : <math display="block">\int_{2}^{3} 3^{x} dx</math> Evaluate: <math display="block">\int_{2}^{3} 3^{x} dx.</math>
- यदि A, <math>3 \times 3</math> का व्युत्क्रमणीय आव्यूह है, तो k का मान क्या होगा यदि <math>\det(A^{-1}) = (\det A)^k</math> है । If A is a <math>3 \times 3</math> invertible matrix, then what will be the value of k if <math>\det(A^{-1}) = (\det A)^k</math>.
- अचर ‘k’ का मान ज्ञात कीजिए ताकि फलन <math>f(x) = \begin{cases} \frac{kx}{|x|}, & \text{यद } x < 0 \\ 3, & \text{यद } x \ge 0 \end{cases}</math> पर संतत है । Determine the value of the constant 'k' so that the function <math>f(x) = \begin{cases} \frac{kx}{|x|}, & \text{if } x < 0 \\ 3, & \text{if } x \ge 0 \end{cases}</math> is continuous at <math>x = 0</math>.
2 65/1/2
Frequently asked questions
What is this document?
This is the official CBSE Class 12 Mathematics Previous Year Question Paper from the 2017 Main Exams, Set-2.
What is the structure of the paper?
The paper has 29 questions divided into four sections (A, B, C, D) with varying marks per question (1, 2, 4, and 6 marks respectively).
What is the total duration and marks for the exam?
The exam is for a duration of 3 hours and carries a maximum of 100 marks.
How does solving this previous year paper help?
Solving this board question paper helps students understand the exam pattern, difficulty level, and important topics, thereby improving their preparation and scores.
What subjects are covered in this paper?
This paper covers various topics from the Class 12 Mathematics syllabus, including calculus, algebra, coordinate geometry, and more.
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