Maths 12th Chapterwise PYQs PDF
Document Details
Uploaded by Deleted User
Shobhit Nirwan
Tags
Related
- Competishun Relation & Function Maths Chapterwise Test 2024-2025 PDF
- Demo-50-YCT-RRB-2024-Mathematics-Chapter-Wise-Solved-Papers-English-Medium PDF
- Victorian Certificate of Education 2023 General Mathematics PDF
- Ain Shams University General Mathematics (1) 2022-2023 PDF
- JEE Mains & Advanced Past Papers PDF
- Top 200 JEE Mains 2022 Past Papers PDF
Summary
This document contains past year questions for class 12 mathematics, presented chapterwise. It covers topics like Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, Application of Derivatives etc. The document is suitable for students preparing for upcoming exams.
Full Transcript
Relations and Functions 2016 1. 2017 1. Ans- c= -1 2. Ans- and x = 11/10 OR i. (1,0) ii. 2018 1. Ans. 2. Ans. or 2019 1. Ans. 2. 2020 1. Ans. Or ii...
Relations and Functions 2016 1. 2017 1. Ans- c= -1 2. Ans- and x = 11/10 OR i. (1,0) ii. 2018 1. Ans. 2. Ans. or 2019 1. Ans. 2. 2020 1. Ans. Or ii) transitive Inverse Trigonometric Functions 2016 1. Ans- x = 0 or 1/2 2017 1. Ans- 2. 2018 1. Ans. 2. 2019 1. Ans. 2020 1. Ans. 2. Ans. 0 Matrices 2016 1. Ans - 2. Write the number of all possible matrices of order 2x2 with each entry 1, 2 or 3. Ans- No. of possible matrices = 34 or 81. 3. Ans- Rs. 25000 2017 1. 2. Ans- 2018 1. Ans. 2. 3. Ans. Or 2019 1. Ans. 0 2. Ans. 3. Ans. Or 2020 1. Ans. 2. Ans. Determinants 2016 1. 2. Ans- 5, 8, 8 2017 1. Ans- 8 2. Ans- 3. 2018 1. 2019 1. 2020 1. Continuity and Differentiability 2016 1. Ans- 2. Ans- b/a 2017 1. Ans- k= 12 2. 3. Ans- 2018 1. Ans. 2. Ans. Or 2019 1. Ans. 1 2. Ans. or 3. Ans. 2020 1. Ans. 2. Ans. Or 3. Ans. Application of Derivatives 2016 1. Ans- a= 2 and b= -7 2. 2017 1. Ans- 2. 2018 1. Ans. 2019 1. Ans. Or 2. Ans. 3. Ans. 4. 2020 1. Ans. 9.2 Or 0 2. Ans. Integrals 2016 1. Ans- 2. Ans- OR 3. Ans- 2017 1. Ans- 2. Ans- 3. Ans- 4. Ans- OR 23/2 2018 1. Ans. 2. Ans. 3. Ans. Or 2019 1. Ans. Or 2. Ans. 3. Ans. 4. Ans. 2020 1. Ans. 15/2 2. Ans. 3. Ans. 4. Ans. 5. Ans. 27/2 2021 1. Ans- OR 2. Ans- OR 3. Ans- Application of Integrals 2016 1. 2017 1. Ans- Area= 7 sq. units OR 27 sq. units 2018 1. Ans. 2019 1. Ans. Ans. 7 Or 2020 1. Ans. 2021 1. Ans- OR 17/2 Differential Equations 2016 1. Ans- 2. Ans- 2017 1. Ans- 2. Ans- 0 2018 1. Ans. 2. 3. Ans. Or 2019 1. Ans. 2, 1 2. Ans. 3. Ans. Or 2020 1. Ans. 2021 1. Find the general solution of the differential equation Ans- 2 2. Ans- Vector Algebra 2016 1. Ans- 2. Ans- 2 3. Ans- 2018 1. Ans. 2. Ans. 3. Ans. 2019 1. Ans. Or 2. Ans. or -30 3. Ans. Yes. 2020 1. Ans. Or 2021 1. Ans- 6 2. Ans- or Three Dimensional Geometry 2016 1. Ans - 2. Ans- 3. Ans- Position vector of foot of perpendicular are Length of perpendicular: √7/2 The coordinates of the image of the point P in the given plane are (4, 4, 7). 2017 1. Ans- 1 unit 2. Ans- -1 3. Ans- 4. Ans- 2 5. Ans- (1, -2, 7) 2018 1. Ans. 2. Ans. 13 2019 1. Ans. , 2. Ans. Or 2020 1. Ans. 2021 1. Ans- 2. Ans- 3. Ans- i. Coplanar ii. (2, 1, -3) Linear Programming 2016 1. Ans- The minimum requirement of fertilizer of type A will be 30 kg and that of type B will be 210 kg. 2017 1. 2. Ans- 2018 1. Ans. 2019 1. Ans. 2020 1. Ans. Probability 2016 1. Ans- Rs. 19/9 OR 3/5 2. Ans- Mean= 4/5 and Variance= 16/25 2017 1. Ans- No 2. Ans- Mean = 8 and Variance= 20/3 3. Ans- 3/4 2018 1. Ans. 2. Ans. 3. Ans. 4, 1 2019 1. Ans. i) ii) Or 2. Ans. 3. Ans. 2020 1. Ans. 0.28 2. Ans. 9/10 Or 21/43 2021 1. Ans- 3/5 2. Ans- 3. Ans- 1/25
