PYQ Vault

Day 129: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked 2 times: 16 May 2023 S1, 14 May 2024 S1 See all 2 times it was asked

    147
    In △ABC\triangle ABC, with usual notations, 2acsin⁡12(A−B+C)2ac\sin\dfrac{1}{2}(A-B+C) is equal to

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  2. Question 2

    Quadratic Equations. Asked 2 times: 9 May 2024 S2*, 14 May 2024 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    132
    The equation x3+x−1=0x^3+x-1=0 has

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  3. Question 3

    Trigonometry - II. Asked 2 times: 3 May 2023 S2*, 14 May 2024 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    144
    If sin⁡(θ−α)\sin(\theta-\alpha), sin⁡θ\sin\theta and sin⁡(θ+α)\sin(\theta+\alpha) are in H.P., then the value of cos⁡2θ\cos2\theta is

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  4. Question 4

    Applications of Derivative. Asked 2 times: 10 May 2023 S1, 13 May 2024 S2 See all 2 times it was asked

    133
    Water is running in a hemispherical bowl of radius 180 cm at the rate of 108 cubic decimeters per minute. How fast the water level is rising when depth of the water level in the bowl is 120 cm? (1 decimeter =10=10 cm)

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  5. Question 5

    Circle. Asked 2 times: 10 May 2023 S1, 13 May 2024 S2 See all 2 times it was asked

    148
    The abscissae of two points A and B are the roots of the equation x2+2ax−b2=0x^2+2ax-b^2=0 and their ordinates are roots of the equation y2+2py−q2=0y^2+2py-q^2=0. Then the equation of the circle with AB as diameter is given by

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