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Day 362: MHT-CET Maths

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

  1. Question 1

    Differential Equations. Asked once: 25 Apr 2025 S2 (same type asked 10 times) See all 10 of this type

    150
    The general solution of differential equation (y2−x2)dx=xy dy(x≠0)\left( y^{2}-x^{2} \right)dx=xy\text{ }dy(x\neq 0) is

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  2. Question 2

    Limits. Asked once: 18 Apr 2026 S2 (same type asked 10 times) See all 10 of this type

    70
    If f(x)=3x+3−x−2tan⁡x⋅log⁡(1+x)f(x) = \dfrac{3^x + 3^{-x} - 2}{\tan x \cdot \log(1 + x)} for x≠0x \neq 0, is continuous at x=0x = 0, then the value of f(0)f(0) is equal to …\ldots

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  3. Question 3

    Limits. Asked once: 12 May 2024 S1 (same type asked 10 times) See all 10 of this type

    144
    lim⁡x→0cos⁡7x∘−cos⁡2x∘x2\displaystyle\lim_{x\to0}\frac{\cos7x^{\circ}-\cos2x^{\circ}}{x^{2}} is

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  4. Question 4

    Differentiation. Asked once: 15 May 2023 S2 (same type asked 10 times) See all 10 of this type

    116
    The derivative of sin⁡−1(2x1−x2)\sin^{-1}(2x\sqrt{1-x^2}) w.r.t. sin⁡−1(3x−4x3)\sin^{-1}(3x-4x^3) is

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  5. Question 5

    Linear Programming. Asked once: 12 May 2024 S2 (same type asked 10 times) See all 10 of this type

    142
    The maximum value of Z=7x+8yZ = 7x+8y subject to the constraints x+y≤20,  y≥5,  x≤10,  x≥0,  y≥0x+y \leq 20,\; y \geq 5,\; x \leq 10,\; x \geq 0,\; y \geq 0 is

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