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Day 40: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. This type asked 5 times: 2 May 2023 S1, 22 Apr 2025 S1, 26 Apr 2025 S1, 18 Apr 2026 S1, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 5 of this type

    63
    In △ABC\triangle ABC, with usual notations, (a+b+c)(b+c−a)(c+a−b)(a+b−c)=3b2c2(a + b + c)(b + c - a)(c + a - b)(a + b - c) = 3b^2c^2, then ∠A=\angle A =

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  2. Question 2

    Applications of Derivative. This type asked 5 times: 3 May 2023 S1, 11 May 2023 S1, 10 May 2024 S2, 16 Apr 2026 S1, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 5 of this type

    76
    A particle is fired straight up from the ground. Its height in feet after tt second is given by s(t)=128t−16t2s(t) = 128t - 16t^2. The velocity of the particle when it hits the ground is...

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  3. Question 3

    Differentiation. This type asked 5 times: May 2021 S1, 26 Apr 2025 S1, 15 Apr 2026 S1, 15 Apr 2026 S2, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 5 of this type

    73
    If y=cot⁡−1(1+sin⁡5xcos⁡5x)y = \cot^{-1}\left(\dfrac{1 + \sin 5x}{\cos 5x}\right), then the value of dydx\dfrac{dy}{dx} is

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  4. Question 4

    Line and Plane. This type asked 5 times: 20 Apr 2025 S1, 25 Apr 2025 S2, 26 Apr 2025 S1, 13 Apr 2026 S1, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 5 of this type

    93
    The plane x2+y3+z4=1\dfrac{x}{2} + \dfrac{y}{3} + \dfrac{z}{4} = 1 cuts the axes at the points A, B, C then the area of triangle ABC is

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  5. Question 5

    Differential Equations. This type asked 5 times: 4 May 2023 S1, 22 Apr 2025 S2, 26 Apr 2025 S1, 11 Apr 2026 S1, 18 Apr 2026 S1. This one: 18 Apr 2026 S1 See all 5 of this type

    85
    The equation of the curve whose slope is y−1x2+x\dfrac{y - 1}{x^2 + x} and which passes through the point (1,0)(1, 0) is

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