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Day 99: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked 2 times: 12 May 2026 S1*, 15 May 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    76
    A man of height 1.21.2 m is moving away from the lamp post at the rate 0.60.6 m/sec. If the height of the lamp post is 4.84.8 m, then the rate at which the shadow of the man is lengthening is:

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  2. Question 2

    Definite Integration. Asked 2 times: 13 May 2026 S2*, 15 May 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    82
    If ∫−14f(x)dx=9\int_{-1}^{4} f(x)dx = 9 and ∫24(7−f(x))dx=10\int_{2}^{4}(7 - f(x))dx = 10, then ∫2−1f(x)dx=\int_{2}^{-1} f(x)dx =

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  3. Question 3

    Binomial Distribution. Asked 2 times: 10 May 2023 S2*, 14 May 2026 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    99
    A coin is tossed n times. The probability of getting a head at least once is greater than 0.80.8, then the least value of n is

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  4. Question 4

    Differentiation. Asked 2 times: 13 May 2026 S2, 14 May 2026 S2 See all 2 times it was asked

    74
    If xyyx=1x^y y^x = 1, then dydx\dfrac{dy}{dx} is equal to

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  5. Question 5

    Line and Plane. Asked 2 times: 19 Apr 2025 S1, 14 May 2026 S1 See all 2 times it was asked

    93
    If the angle θ\theta between the line x+11=y−12=z−22\dfrac{x + 1}{1} = \dfrac{y - 1}{2} = \dfrac{z - 2}{2} and the plane 2x−y+kz+4=02x - y + \sqrt{k}z + 4 = 0 is such that cos⁡θ=83\cos\theta = \dfrac{\sqrt{8}}{3}. Then k=k =

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