PYQ Vault

Day 215: CBSE Class 12 Maths

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

  1. Question 1

    Three Dimensional Geometry. Asked once: 2022 (same type asked 4 times)

    1
    Find the vector equation of a line passing through a point with position vector 2i^−j^+k^2\hat{i} - \hat{j} + \hat{k} and parallel to the line joining the points −i^+4j^+k^-\hat{i} + 4\hat{j} + \hat{k} and i^+2j^+2k^\hat{i} + 2\hat{j} + 2\hat{k}.

  2. Question 2

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

    8
    The absolute maximum value of function f(x)=x3−3x+2f(x) = x^3 - 3x + 2 in [0,2][0, 2] is :

    Tap an option to check your answer.

  3. Question 3

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

    27 (a)
    Find the intervals in which the function f(x)=log⁡xxf(x) = \dfrac{\log x}{x} is strictly increasing or strictly decreasing.

  4. Question 4

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

    22
    Surface area of a balloon (spherical), when air is blown into it, increases at a rate of 5 mm2^2/s. When the radius of the balloon is 8 mm, find the rate at which the volume of the balloon is increasing.

  5. Question 5

    Continuity and Differentiability. Asked once: 2024 (same type asked 3 times)

    2
    The derivative of 5x5^x w.r.t. exe^x is :

    Tap an option to check your answer.