PYQ Vault
EbooksTutor

Day 143: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked 2 times: 2 May 2023 S1, 10 May 2023 S2 See all 2 times it was asked

    130
    The value of cos⁡(2cos⁡−1x+sin⁡−1x)\cos(2\cos^{-1}x + \sin^{-1}x) at x=15x = \frac{1}{5} is

    Tap an option to check your answer.

  2. Question 2

    Vectors. Asked 2 times: 3 May 2023 S2, 10 May 2023 S2 See all 2 times it was asked

    117
    If a⃗=j^−k^\vec{a} = \hat{j}-\hat{k} and c⃗=i^−j^−k^\vec{c} = \hat{i}-\hat{j}-\hat{k}, then the vector b⃗\vec{b} satisfying a⃗×b⃗+c⃗=0⃗\vec{a}\times\vec{b}+\vec{c}=\vec{0} and a⃗⋅b⃗=3\vec{a}\cdot\vec{b}=3 is

    Tap an option to check your answer.

  3. Question 3

    Binomial Distribution. Asked 2 times: 2 May 2023 S2*, 10 May 2023 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    128
    In a Binomial distribution consisting of 5 independent trials, probabilities of exactly 1 and 2 successes are 0.4096 and 0.2048 respectively, then the probability of getting exactly 4 successes is

    Tap an option to check your answer.

  4. Question 4

    Indefinite Integration. Asked 2 times: 3 May 2023 S1*, 10 May 2023 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    124
    If ∫(2x+4)x−1 dx=a(x−1)5/2+b(x−1)3/2+c\int(2x+4)\sqrt{x-1}\,dx=a(x-1)^{5/2}+b(x-1)^{3/2}+c (where c is a constant of integration), then the value of a+ba+b is

    Tap an option to check your answer.

  5. Question 5

    Line and Plane. Asked 2 times: 2 May 2023 S1*, 10 May 2023 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    130
    If the line x−32=y+21=z+43\frac{x-3}{2}=\frac{y+2}{1}=\frac{z+4}{3} lies in the plane lx+my−z=9lx+my-z=9, then l2+m2l^2+m^2 is equal to

    Tap an option to check your answer.