PYQ Vault

Day 125: CBSE Class 12 Maths

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

  1. Question 1

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

    10
    If A(adj A)=[300030003]A(\text{adj } A) = \begin{bmatrix} 3 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 3 \end{bmatrix}, then the value of ∣2A∣|2A| is :

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  2. Question 2

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

    5
    Let A be the area of a triangle having vertices (x1,y1)(x_1, y_1), (x2,y2)(x_2, y_2) and (x3,y3)(x_3, y_3). Which of the following is correct ?

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  3. Question 3

    Determinants. Asked once: 2025 (same type asked 2 times)

    21
    Using matrices and determinants, find the value(s) of k for which the pair of equations 5x−ky=25x - ky = 2; 7x−5y=37x - 5y = 3 has a unique solution.

  4. Question 4

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

    8
    If ∫3axb2+c2x2 dx=Alog⁡∣b2+c2x2∣+K\int \frac{3ax}{b^2 + c^2x^2}\,dx = A \log \left| b^2 + c^2x^2 \right| + K, then the value of A is

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  5. Question 5

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

    12
    The domain of sin⁡−1(1−2x)\sin^{-1} (1 - 2x) is :

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