PYQ Vault

Day 106: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. Asked 2 times: 11 May 2024 S2, 18 Apr 2026 S1 See all 2 times it was asked

    79
    ∫sin⁡(log⁡x) dx=\displaystyle\int\sin(\log x)\,dx =

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  2. Question 2

    Limits. Asked 2 times: 9 May 2023 S1*, 18 Apr 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    59
    If lim⁡x→∞[x2+x+1x+1−ax−b]=3\lim_{x \to \infty}\left[\dfrac{x^2 + x + 1}{x + 1} - ax - b\right] = 3, then a−b=a - b =...

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  3. Question 3

    Trigonometric Functions. Asked 2 times: 26 Apr 2025 S1*, 18 Apr 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    63
    In triangle ABC, with usual notations, if (a+b+c)(a+b−c)=ab(a + b + c)(a + b - c) = ab, then the measure of angle C is...

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  4. Question 4

    Applications of Derivative. Asked 2 times: 11 May 2024 S2*, 17 Apr 2026 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    75
    The equation of the tangent to the curve y=9−3x2y = \sqrt{9 - 3x^2} at the point where the ordinate and abscissa equal is...

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  5. Question 5

    Differentiation. Asked 2 times: 17 Apr 2026 S1, 17 Apr 2026 S2 See all 2 times it was asked

    69
    If f(x)=cos⁡x cos⁡2x cos⁡4x cos⁡8x cos⁡16xf(x) = \cos x\ \cos 2x\ \cos 4x\ \cos 8x\ \cos 16x, then f′(π4)=f'\left(\dfrac{\pi}{4}\right) =

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