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Day 207: MHT-CET Maths

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

  1. Question 1

    Differential Equations. Asked once: 19 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    114
    The order and degree of differential equation of all tangent lines to the parabola x2=4yx^{2}= 4y is respectively.

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  2. Question 2

    Differential Equations. Asked once: 11 May 2023 S2 (same type asked 5 times) See all 5 of this type

    138
    If y(x)y(x) is the solution of the differential equation (x+2)dydx=x2+4x−9, x≠−2(x+2)\frac{dy}{dx} = x^2+4x-9,\ x\neq-2 and y(0)=0y(0)=0, then y(−4)y(-4) is equal to

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  3. Question 3

    Linear Programming. Asked once: 13 May 2024 S2 (same type asked 5 times) See all 5 of this type

    125
    The shaded area in the given figure is a solution set for some system of inequations. The maximum value of the function z=10x+25yz=10x+25y subject to the linear constraints given by the system is

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  4. Question 4

    Applications of Derivative. Asked once: 11 May 2023 S2 (same type asked 5 times) See all 5 of this type

    133
    The maximum value of the function f(x)=2x3−15x2+36x−48f(x) = 2x^3-15x^2+36x-48 on the set A={x∣x2+20≤9x}A = \{x\mid x^2+20\leq9x\} is

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  5. Question 5

    Applications of Derivative. Asked once: 15 May 2023 S2 (same type asked 5 times) See all 5 of this type

    118
    The function f(x)=2x3−9x2+12x+2f(x) = 2x^3-9x^2+12x+2 is decreasing in

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