PYQ Vault

Day 464: MHT-CET Maths

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

  1. Question 1

    Limits. Asked once: 14 May 2024 S2

    117
    If f(a)=2,f′(a)=1,g(a)=−1,g′(a)=2f(a)=2, f'(a)=1, g(a)=-1, g'(a)=2, then as xx approaches aa, g(x)f(a)−g(a)f(x)x−a\frac{g(x)f(a) - g(a)f(x)}{x-a} approaches

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  2. Question 2

    Line and Plane. Asked once: 18 Apr 2026 S2

    88
    The equation of the plane passing through the points having position vectors (aˉ+bˉ),(bˉ+cˉ)(\bar{a} + \bar{b}), (\bar{b} + \bar{c}) and (aˉ+cˉ)(\bar{a} + \bar{c}) is …\ldots

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  3. Question 3

    Pair of Straight Lines. Asked once: 2 May 2023 S2

    119
    The diagonals of a parallelogram ABCD are along the lines x+3y=4x+3y=4 and 6x−2y=76x-2y=7. Then ABCD must be a

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  4. Question 4

    Permutations and Combinations. Asked once: 22 Apr 2025 S1

    132
    21 friends were invited for a party. Two round tables can accommodate 12 and 9 friends each. The number of ways of the seating arrangements of friends is

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  5. Question 5

    Probability Distribution. Asked once: 16 Apr 2026 S1

    99
    The probability distribution of a random variable X is given by
    X=xX = x1234
    P(X=x)P(X = x)kk2k2k3k3k4k4k
    Then the c.d.f. of X is given by

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