PYQ Vault
EbooksTutor

Day 490: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked once: 17 Apr 2026 S1

    71
    If y=x⋅7xy = x \cdot 7^x, then the value of dxdy\dfrac{dx}{dy} when x=1x = 1 is

    Tap an option to check your answer.

  2. Question 2

    Indefinite Integration. Asked once: 18 Apr 2026 S1

    67
    If 0≤x≤1,I1=∫sin⁡−11−x2 dx0 \le x \le 1, I_1 = \displaystyle\int\sin^{-1}\sqrt{1 - x^2}\,dx and I2=∫sin⁡−1x dxI_2 = \displaystyle\int\sin^{-1}x\,dx, then which of the following is true?

    Tap an option to check your answer.

  3. Question 3

    Limits. Asked once: 2 May 2023 S2

    112
    The value of k, for which the function f(x)={(45)tan⁡4xtan⁡5x,0<x<π2k+25,x=π2f(x)=\begin{cases}\left(\dfrac{4}{5}\right)^{\frac{\tan4x}{\tan5x}}, & 0<x<\frac{\pi}{2}\\ k+\dfrac{2}{5}, & x=\frac{\pi}{2}\end{cases} is continuous at x=π2x=\frac{\pi}{2}, is

    Tap an option to check your answer.

  4. Question 4

    Line and Plane. Asked once: 16 Apr 2026 S1

    88
    The acute angle between the vector 2i^+j^−3k^2\hat{i} + \hat{j} - 3\hat{k} and the plane containing the vectors 2i^+3j^−k^2\hat{i} + 3\hat{j} - \hat{k} and i^−j^+2k^\hat{i} - \hat{j} + 2\hat{k} is

    Tap an option to check your answer.

  5. Question 5

    Permutations and Combinations. Asked once: 4 May 2023 S2

    136
    Five persons A, B, C, D and E are seated in a circular arrangement, if each of them is given a hat of one of the three colours red, blue and green, then the number of ways of distributing the hats such that the person seated in adjacent seats get different coloured hats, is

    Tap an option to check your answer.