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Day 108: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked 2 times: 10 May 2023 S2*, 16 Apr 2026 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    75
    A spherical snow ball is melting so that its volume is decreasing at the rate of 8 c.c./sec then the rate of change of radius when the radius is 2 cm, is :

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  2. Question 2

    Mathematical Logic. Asked 2 times: 13 May 2024 S2, 16 Apr 2026 S2 See all 2 times it was asked

    61
    The negation of the contrapositive of the statement (p∨∼q)→(p∧∼q)(p \vee \sim q) \to (p \wedge \sim q) is

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  3. Question 3

    Pair of Straight Lines. Asked 2 times: 15 Apr 2026 S1*, 16 Apr 2026 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    56
    If θ\theta is the acute angle between the lines 2x2+7xy+3y2=02x^2 + 7xy + 3y^2 = 0, then the value of 2cos⁡θ−3sin⁡θ4sin⁡θ+5cos⁡θ=…\dfrac{2\cos\theta - 3\sin\theta}{4\sin\theta + 5\cos\theta} = \ldots

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  4. Question 4

    Differentiation. Asked 2 times: May 2022 S1, 16 Apr 2026 S1 See all 2 times it was asked

    72
    If y1m+y−1m=2xy^{\frac{1}{m}} + y^{\frac{-1}{m}} = 2x , then (x2−1)y12=(x^2 - 1)y_1^2 =

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  5. Question 5

    Indefinite Integration. Asked 2 times: 11 May 2023 S1, 16 Apr 2026 S1 See all 2 times it was asked

    78
    ∫cos⁡3xsin⁡2x+sin⁡x dx=\displaystyle\int\dfrac{\cos^3 x}{\sin^2 x + \sin x}\,dx =

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