PYQ Vault

Day 156: MHT-CET Maths

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

  1. Question 1

    Vectors. This type asked 2 times: 19 Apr 2025 S2, 18 Apr 2026 S1. This one: 18 Apr 2026 S1 See all 2 of this type

    90
    Let aˉ,bˉ,cˉ\bar{a}, \bar{b}, \bar{c} be three vectors of equal magnitude such that the angle between aˉ\bar{a} and bˉ\bar{b} is α\alpha, bˉ\bar{b} and cˉ\bar{c} is β\beta, cˉ\bar{c} and aˉ\bar{a} is γ\gamma. Then the minimum value of cos⁡α+cos⁡β+cos⁡γ\cos\alpha + \cos\beta + \cos\gamma is ...

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  2. Question 2

    Applications of Derivative. This type asked 2 times: 20 Apr 2025 S1, 17 Apr 2026 S2. This one: 17 Apr 2026 S2 See all 2 of this type

    74
    The coordinates of the points on the curve 4y=x24y = x^2 that are nearest to the point (0,5)(0, 5) are ...

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  3. Question 3

    Complex Numbers. This type asked 2 times: 20 Apr 2025 S2, 17 Apr 2026 S2. This one: 17 Apr 2026 S2 See all 2 of this type

    52
    (cos⁡2θ+isin⁡2θ)7(cos⁡4θ+isin⁡4θ)3=\dfrac{(\cos 2\theta + i\sin 2\theta)^7}{(\cos 4\theta + i\sin 4\theta)^3} =

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  4. Question 4

    Applications of Derivative. This type asked 2 times: 14 May 2024 S1, 17 Apr 2026 S1. This one: 17 Apr 2026 S1 See all 2 of this type

    76
    The function f(x)=∫x+3x2−9x+20 dxf(x) = \int\dfrac{x + 3}{x^2 - 9x + 20}\,dx, then f(x)f(x) is

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  5. Question 5

    Applications of Derivative. This type asked 2 times: 25 Apr 2025 S2, 17 Apr 2026 S1. This one: 17 Apr 2026 S1 See all 2 of this type

    77
    If f(x)=log⁡(1+x)−x1+xf(x) = \log(1 + x) - \dfrac{x}{1 + x}, then the values of xx for which f(x)f(x) is monotonically increasing and monotonically decreasing are respectively.....

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