PYQ Vault

Day 248: CBSE Class 12 Maths

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

  1. Question 1

    Application of Derivatives. Asked once: 2024 (same type asked 3 times)

    24
    The volume of a cube is increasing at the rate of 6 cm3^{3}/s. How fast is the surface area of cube increasing, when the length of an edge is 8 cm ?

  2. Question 2

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

    10
    The integrating factor of the differential equation (x+2y2)dydx=y (y>0)(x + 2y^2)\dfrac{dy}{dx} = y\ (y > 0) is :

    Tap an option to check your answer.

  3. Question 3

    Application of Derivatives. Asked once: 2023 (same type asked 3 times)

    23
    Find the maximum and minimum values of the function given by f(x)=5+sin⁡2xf(x) = 5 + \sin 2x.

  4. Question 4

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

    2
    If ∣A∣=2|A| = 2, where A is a 2×22 \times 2 matrix, then ∣4A−1∣|4A^{-1}| equals :

    Tap an option to check your answer.

  5. Question 5

    Differential Equations. Asked once: 2022 (same type asked 5 times)

    12 (b)
    Find the general solution of the differential equation x(y3+x3) dy=(2y4+5x3y) dx.x (y^3 + x^3) \, dy = (2y^4 + 5x^3 y) \, dx.