PYQ Vault

Day 126: 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 2 times)

    1
    The following graph represents :

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  2. Question 2

    Inverse Trigonometric Functions. Asked once: 2026 (same type asked 2 times)

    1
    If 2cos⁡−1x=y2 \cos^{-1} x = y, then

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  3. Question 3

    Inverse Trigonometric Functions. Asked once: 2024 (same type asked 2 times)

    24
    Find the value of [sin⁡2{cos⁡−1(35)}+tan⁡2{sec⁡−1(3)}]\left[ \sin^2 \left\{ \cos^{-1}\left(\dfrac{3}{5}\right) \right\} + \tan^2 \left\{ \sec^{-1}(3) \right\} \right].

  4. Question 4

    Matrices. Asked once: 2026 (same type asked 2 times)

    1
    If A=[sin⁡θcos⁡θ−cos⁡θsin⁡θ]A = \begin{bmatrix} \sin\theta & \cos\theta \\ -\cos\theta & \sin\theta \end{bmatrix} and A+A′=IA + A' = I, then θ\theta is equal to :

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  5. Question 5

    Matrices. Asked once: 2023 (same type asked 2 times)

    3
    If A is a square matrix and A2=AA^2 = A, then (I+A)2−3A(I + A)^2 - 3A is equal to :

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