PYQ Vault

Day 149: 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)

    1
    The principal value of sin⁡−1(sin⁡(−10π3))\sin^{-1}\left(\sin\left(-\frac{10\pi}{3}\right)\right) is :

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  2. Question 2

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

    23 (a)
    Simplify sin⁡−1(x1+x2)\sin^{-1}\left(\frac{x}{\sqrt{1 + x^2}}\right).

  3. Question 3

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

    16
    A factory produces two products X and Y. The profit earned by selling X and Y is represented by the objective function Z=5x+7yZ = 5x + 7y, where xx and y are the number of units of X and Y respectively sold. Which of the following statement is correct ?

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  4. Question 4

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

    15
    If A=[1000]A = \begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix} and B=[1100]B = \begin{bmatrix} 1 & 1 \\ 0 & 0 \end{bmatrix}, then B′A′B'A' is equal to :

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  5. Question 5

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

    10
    Four friends Abhay, Bina, Chhaya and Devesh were asked to simplify 4 AB+3(AB+BA)−4 BA4\,AB + 3(AB + BA) - 4\,BA, where A and B are both matrices of order 2×22 \times 2. It is known that A≠B≠IA \ne B \ne I and A−1≠BA^{-1} \ne B. Their answers are given as : Abhay : 6 AB6\,AB Bina : 7 AB−BA7\,AB - BA Chhaya : 8 AB8\,AB Devesh : 7 BA−AB7\,BA - AB Who answered it correctly ?

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