PYQ Vault

Day 303: MHT-CET Maths

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

  1. Question 1

    Sets, Relations and Functions. Asked once: 16 May 2023 S2 (same type asked 4 times) See all 4 of this type

    130
    The domain of the function f(x)=sin⁡−1(x−3)9−x2f(x) = \frac{\sin^{-1}(x-3)}{\sqrt{9-x^2}} is

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  2. Question 2

    Binomial Distribution. Asked once: 13 May 2024 S2 (same type asked 4 times) See all 4 of this type

    124
    If the sum of the mean and the variance of a Binomial distribution for 5 trials is 1.8, then the value of pp is

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  3. Question 3

    Line and Plane. Asked once: 15 May 2023 S2 (same type asked 4 times) See all 4 of this type

    126
    A line makes 45∘45^\circ angle with positive X-axis and makes equal angles with positive Y-axis and Z-axis respectively, then the sum of the three angles which the line makes with positive X-axis, Y-axis and Z-axis is

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  4. Question 4

    Applications of Derivative. Asked once: 12 May 2024 S2 (same type asked 4 times) See all 4 of this type

    132
    The equation of the normal to the curve 3x2−y2=83x^2 - y^2 = 8, which is parallel to the line x+3y=10x + 3y = 10, is

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  5. Question 5

    Differential Equations. Asked once: 19 Apr 2026 S2 (same type asked 4 times) See all 4 of this type

    84
    The differential equation of all lines where the length of the normal from the origin is p and the inclination of the normal is α\alpha is... (where p and α\alpha are arbitrary constants)

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