PYQ Vault

Day 83: CBSE Class 12 Maths

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

  1. Question 1

    Application of Integrals. Asked once: 2025 (same type asked 3 times)

    17
    The area of the region enclosed by the curve y=xy = \sqrt{x} and the lines x=0x = 0 and x=4x = 4 and x-axis is :

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  2. Question 2

    Continuity and Differentiability. Asked once: 2025 (same type asked 3 times)

    12
    The function f defined by f(x)={x,if x≤15,if x>1f(x) = \begin{cases} x, & \text{if } x \le 1 \\ 5, & \text{if } x > 1 \end{cases} is not continuous at :

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  3. Question 3

    Continuity and Differentiability. Asked once: 2025 (same type asked 3 times)

    29 (a)
    If y=log⁡(x+1x)2y = \log\left(\sqrt{x} + \dfrac{1}{\sqrt{x}}\right)^2, then show that x(x+1)2 y2+(x+1)2 y1=2x(x + 1)^2\,y_2 + (x + 1)^2\,y_1 = 2.

  4. Question 4

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

    6
    Let A be a square matrix of order 3. If ∣A∣=5|A| = 5, then ∣adj A∣|\mathrm{adj}\ A| is :

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  5. Question 5

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

    7
    If A and B are invertible matrices of order 3×33 \times 3 such that det (A) = 4 and det⁡[(AB)−1]=120\det [(AB)^{-1}] = \frac{1}{20}, then det (B) is equal to :

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