PYQ Vault
EbooksTutor

Day 133: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked 2 times: May 2022 S1, 11 May 2024 S2 See all 2 times it was asked

    120
    If the function f is given by f(x)=x3−3(a−2)x2+3ax+7f(x)=x^3-3(a-2)x^2+3ax+7, for some a∈Ra\in\mathbb{R}, is increasing in (0,1](0,1] and decreasing in [1,5)[1,5), then a root of the equation f(x)−14(x−1)2=0  (x≠1)\frac{f(x)-14}{(x-1)^2}=0\;(x\neq1) is

    Tap an option to check your answer.

  2. Question 2

    Binomial Distribution. Asked 2 times: 3 May 2023 S2, 11 May 2024 S2 See all 2 times it was asked

    111
    Let a random variable X have a Binomial distribution with mean 8 and variance 4. If P(X≤2)=K216P(X\leq 2) = \frac{K}{2^{16}}, then K is

    Tap an option to check your answer.

  3. Question 3

    Limits. Asked 2 times: 2 May 2023 S1, 11 May 2024 S2 See all 2 times it was asked

    149
    If l=lim⁡x→0x∣x∣+x2l=\lim_{x\to0}\frac{x}{|x|+x^2}, then the value of l is:

    Tap an option to check your answer.

  4. Question 4

    Permutations and Combinations. Asked 2 times: 11 May 2024 S1, 11 May 2024 S2 See all 2 times it was asked

    138
    The teacher wants to arrange 5 students on the platform such that the boy B1B_1 occupies the second position and the girls G1G_1 and G2G_2 are always adjacent to each other, then the number of such arrangements is

    Tap an option to check your answer.

  5. Question 5

    Trigonometric Functions. Asked 2 times: 4 May 2023 S1, 11 May 2024 S2 See all 2 times it was asked

    101
    If the angles of a triangle are in the ratio 4:1:14:1:1, then the ratio of the longest side to its perimeter is

    Tap an option to check your answer.