PYQ Vault

Day 177: CBSE Class 12 Maths

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

  1. Question 1

    Inverse Trigonometric Functions. Asked once: 2025 (same type asked 3 times)

    24
    Solve for xx, 2tan⁡−1x+sin⁡−1(2x1+x2)=432 \tan^{-1} x + \sin^{-1}\left(\frac{2x}{1 + x^2}\right) = 4\sqrt{3}

  2. Question 2

    Linear Programming. Asked once: 2024 (same type asked 3 times)

    10
    A linear programming problem deals with the optimization of a/an :

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  3. Question 3

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

    17
    If A and B are square matrices of order m such that A2−B2=(A−B)(A+B)A^2 - B^2 = (A - B)(A + B), then which of the following is always correct ?

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  4. Question 4

    Matrices. Asked once: 2023 (same type asked 3 times)

    4
    If A=[3452]A = \begin{bmatrix} 3 & 4 \\ 5 & 2 \end{bmatrix} and 2A + B is a null matrix, then B is equal to :

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  5. Question 5

    Probability. Asked once: 2023 (same type asked 3 times)

    16
    For two events A and B, if P(A)=0⋅4P(A) = 0{\cdot}4, P(B)=0⋅8P(B) = 0{\cdot}8 and P(B/A)=0⋅6P(B/A) = 0{\cdot}6, then P(A∪B)P(A \cup B) is :

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