PYQ Vault

Day 180: CBSE Class 12 Maths

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

  1. Question 1

    Continuity and Differentiability. Asked once: 2023 (same type asked 3 times)

    25 (a)
    If y=ax+by = \sqrt{ax + b}, then prove that y(d2ydx2)+(dydx)2=0y\left(\frac{d^2y}{dx^2}\right) + \left(\frac{dy}{dx}\right)^2 = 0.

  2. Question 2

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

    3
    Let A be a 3×33 \times 3 matrix such that ∣adj A∣=64|\text{adj } A| = 64. Then ∣A∣|A| is equal to :

    Tap an option to check your answer.

  3. Question 3

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

    21
    Let A and B be two square matrices of order 3 such that det⁡(A)=3\det (A) = 3 and det⁡(B)=−4\det (B) = -4. Find the value of det⁡(−6AB)\det (-6AB).

  4. Question 4

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

    6
    ∫−aaf(x) dx=0\int\limits_{-a}^{a} f(x)\, dx = 0, if :

    Tap an option to check your answer.

  5. Question 5

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

    27 (b)
    Find : ∫ex[1(1+x2)3/2+x1+x2]dx\displaystyle\int e^{x}\left[\dfrac{1}{(1 + x^{2})^{3/2}} + \dfrac{x}{\sqrt{1 + x^{2}}}\right] dx