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Day 366: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked once: 10 May 2023 S2 (same type asked 9 times) See all 9 of this type

    116
    If x2y2=sin⁡−1x+cos⁡−1xx^2 y^2 = \sin^{-1}x + \cos^{-1}x, then dydx\frac{dy}{dx} at x=1x=1 and y=2y=2 is

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  2. Question 2

    Differentiation. Asked once: 16 May 2023 S2 (same type asked 9 times) See all 9 of this type

    101
    If g(x)=[f(2f(x)+2)]2g(x) = [f(2f(x)+2)]^2 and f(0)=−1f(0) = -1, f′(0)=1f'(0) = 1, then g′(0)g'(0) is

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  3. Question 3

    Differential Equations. Asked once: 20 Apr 2025 S2 (same type asked 8 times) See all 8 of this type

    115
    If the differential equation dy dx+xy=ay\frac{dy}{\text{ }dx}+\frac{x}{y}=\frac{a}{y} where a is constant, represents a family of circles then the radius of the circle is ____\_\_\_\_

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  4. Question 4

    Line and Plane. Asked once: 14 May 2024 S2 (same type asked 8 times) See all 8 of this type

    113
    The length of the perpendicular drawn from the point (1,2,3)(1,2,3) to the line x−63=y−72=z−7−2\frac{x-6}{3} = \frac{y-7}{2} = \frac{z-7}{-2} is

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  5. Question 5

    Definite Integration. Asked once: 15 May 2023 S2 (same type asked 8 times) See all 8 of this type

    134
    The value of the integral ∫0π/2cot⁡xcot⁡x+tan⁡x dx\int_0^{\pi/2} \frac{\cot x}{\cot x+\tan x}\,dx is

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