PYQ Vault
EbooksTutor

Day 115: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked 2 times: May 2021 S1, 26 Apr 2025 S2 See all 2 times it was asked

    106
    The function f(x)=[x(x−2)]2f(x) = \lbrack x(x- 2)\rbrack^{2} is increasing in the set

    Tap an option to check your answer.

  2. Question 2

    Differential Equations. Asked 2 times: May 2021 S1, 26 Apr 2025 S2 See all 2 times it was asked

    125
    The differential equation representing the family of parabolas having vertex at the origin and axis along the positive Y -axis is

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Functions. Asked 2 times: 15 May 2023 S2, 26 Apr 2025 S2 See all 2 times it was asked

    114
    If cot⁡−1(cos⁡α)−tan⁡−1(cos⁡α)=x\cot^{- 1}(\sqrt{\cos\alpha}) -\tan^{- 1}(\sqrt{\cos\alpha}) =x, then the value of sin⁡x\sin x is

    Tap an option to check your answer.

  4. Question 4

    Trigonometric Functions. Asked 2 times: 21 Apr 2025 S1, 26 Apr 2025 S2 See all 2 times it was asked

    112
    In a triangle ABC with usual notations if ∠A=30∘\angle A =30^{\circ}, then the value of (1+ac+bc)(1+cb−ab)=\left( 1 +\frac{a}{c}+\frac{b}{c} \right)\left( 1 +\frac{c}{b}-\frac{a}{b} \right)=

    Tap an option to check your answer.

  5. Question 5

    Binomial Distribution. Asked 2 times: 25 Apr 2025 S2*, 26 Apr 2025 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    102
    The probability that a person is not a sportsperson is 16\frac{1}{6}. Then the probability that out of the 6 members of the family, 5 are sportspersons is

    Tap an option to check your answer.