PYQ Vault

Day 79: CBSE Class 12 Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Inverse Trigonometric Functions. Asked once: 2026 (same type asked 3 times)

    23 (a)
    Simplify : sin⁡−11+cos⁡2x2\sin^{-1} \sqrt{\frac{1 + \cos 2x}{2}}, 0<x<π20 < x < \frac{\pi}{2}.

  2. Question 2

    Linear Programming. Asked once: 2026 (same type asked 3 times)

    16
    In a linear programming problem, the linear function which has to be maximized or minimized is called

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  3. Question 3

    Matrices. Asked once: 2025 (same type asked 3 times)

    8
    Let A and B be two matrices of suitable orders. Then, which of the following is not correct ?

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  4. Question 4

    Matrices. Asked once: 2026 (same type asked 3 times)

    1
    If matrix A=[−pqrp]A = \begin{bmatrix} -p & q \\ r & p \end{bmatrix} is such that A2=IA^2 = I, then :

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  5. Question 5

    Matrices. Asked once: 2026 (same type asked 3 times)

    4
    Let A=[0−34102]A = \begin{bmatrix} 0 & -3 & 4 \\ 1 & 0 & 2 \end{bmatrix} and B=[−301240]B = \begin{bmatrix} -3 & 0 & 1 \\ 2 & 4 & 0 \end{bmatrix}. If A+B+C=OA + B + C = O, then matrix C is :

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