PYQ Vault

Day 509: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked once: 11 Apr 2026 S1

    72
    If y=x+x2+1y = \sqrt{x + \sqrt{x^2 + 1}}, then the value of dydx\dfrac{dy}{dx} is

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  2. Question 2

    Indefinite Integration. Asked once: 15 Apr 2026 S1

    80
    If an antiderivative of f(x)f(x) is exe^x and an antiderivative of g(x)g(x) is cos⁡x\cos x, then ∫f(x)cos⁡x dx+∫g(x)ex dx=\displaystyle\int f(x)\cos x\,dx + \int g(x)e^x\,dx =

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  3. Question 3

    Line and Plane. Asked once: 25 Apr 2025 S1

    142
    In 3-dimensional space, the equation x2−8x+12=0x^{2}- 8x+ 12 = 0 represents ....

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  4. Question 4

    Probability Distribution. Asked once: 4 May 2023 S2

    141
    The expected value of the sum of the two numbers obtained on the uppermost faces, when two fair dice are rolled, is

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  5. Question 5

    Trigonometric Functions. Asked once: 26 Apr 2025 S1

    108
    In a triangle ABC, with usual notations, if a=5a=5, b=7b=7, sin⁡A=34\sin A=\frac{3}{4}, then total number of triangles possible are

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