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Day 204: MHT-CET Maths

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

  1. Question 1

    Circle. Asked once: 25 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    143
    A pair of tangents are drawn to the circle x2+y2+6x−4y−12=0x^{2}+y^{2}+ 6x- 4y- 12 = 0 from a point P(−4,−5)P( - 4, - 5), then the area enclosed between these tangents and the area of the circle is

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  2. Question 2

    Differentiation. Asked once: 9 May 2024 S2 (same type asked 5 times) See all 5 of this type

    141
    If gg is the inverse of ff and f′(x)=11+x3f'(x) = \dfrac{1}{1+x^3}, then g′(x)g'(x) is

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  3. Question 3

    Trigonometric Functions. Asked once: 17 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    66
    cos⁡−1(cos⁡4π3)+sin⁡−1(sin⁡4π3)=…\cos^{-1}\left(\cos\dfrac{4\pi}{3}\right) + \sin^{-1}\left(\sin\dfrac{4\pi}{3}\right) = \ldots

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  4. Question 4

    Trigonometric Functions. Asked once: 22 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    108
    In △ABC\bigtriangleup ABC, with usual notations, if a4+b4+c4−2a2c2−2c2b2=0a^{4}+b^{4}+c^{4}- 2a^{2}c^{2}- 2c^{2}b^{2}= 0, then ∠C=…\angle C= \ldots.

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  5. Question 5

    Applications of Derivative. Asked once: 16 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    51
    A ball is thrown in the air. Its height at any time tt is given by h=3+14t−5t2h = 3 + 14t - 5t^2, then the maximum height it can reach

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