PYQ Vault

Day 202: 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}, 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: 2025 (same type asked 3 times)

    3
    If A=kBA = kB, where A and B are two square matrices of order n and k is a scalar, then :

    Tap an option to check your answer.

  3. Question 3

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

    11
    If ∫−23x2 dx=k∫02x2 dx+∫23x2 dx\displaystyle\int_{-2}^{3} x^2\, \mathrm{d}x = \mathrm{k}\int_{0}^{2} x^2\, \mathrm{d}x + \int_{2}^{3} x^2\, \mathrm{d}x, then the value of k is :

    Tap an option to check your answer.

  4. Question 4

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

    32 (a)
    Evaluate : ∫0π2ex(1+sin⁡x1+cos⁡x)dx\int_0^{\frac{\pi}{2}} e^x \left( \frac{1 + \sin x}{1 + \cos x} \right) dx

  5. Question 5

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

    8
    ∫e5log⁡x dx\displaystyle\int e^{5 \log x}\, dx is equal to :

    Tap an option to check your answer.