PYQ Vault
EbooksTutor

Day 65: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. Asked 3 times: 16 May 2023 S1, 13 Apr 2026 S1, 19 May 2026 S1 See all 3 times it was asked

    100
    A random variable X takes the values 0, 1, 2, 3 and its mean is 1.31.3. If P(X=3)=2P(X=1)P(X = 3) = 2P(X = 1) and P(X=2)=0.3P(X = 2) = 0.3, then P(X=0)P(X = 0) is

    Tap an option to check your answer.

  2. Question 2

    Indefinite Integration. Asked 3 times: 3 May 2023 S2, 12 May 2024 S1, 15 May 2026 S1 See all 3 times it was asked

    79
    The integral ∫csc⁡xcos⁡2[1+log⁡(tan⁡x2)] dx\int \dfrac{\csc x}{\cos^2[1 + \log(\tan\frac{x}{2})]}\, dx is equal to:

    Tap an option to check your answer.

  3. Question 3

    Applications of Derivative. Asked 3 times: 9 May 2023 S2*, 12 May 2024 S2*, 14 May 2026 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    76
    A rectangular sheet of paper has its area 3232 meters2\text{meters}^2. The margins at the top and bottom are 5050 cm each and at the sides 2525 cm each. If the area of the printed space is maximum, then the dimensions of the paper are

    Tap an option to check your answer.

  4. Question 4

    Applications of Derivative. Asked 3 times: 3 May 2023 S1*, 19 Apr 2025 S1*, 14 May 2026 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    77
    A stone is dropped into a quiet lake and waves move in circles at the speed of 7 cm s−17\ \mathrm{cm\,s^{-1}}. At the instant when the radius of circular wave is 55 cm, the enclosed area is increasing at the rate -------- cm2 s−1\mathrm{cm^2\,s^{-1}}

    Tap an option to check your answer.

  5. Question 5

    Definite Integration. Asked 3 times: 10 May 2023 S2, 11 May 2023 S2, 14 May 2026 S2 See all 3 times it was asked

    84
    ∫0π/4log⁡(1+tan⁡x) dx=…\displaystyle\int_0^{\pi/4}\log(1 + \tan x)\,dx = \ldots

    Tap an option to check your answer.