PYQ Vault

Day 361: MHT-CET Maths

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

  1. Question 1

    Linear Programming. Asked once: 14 May 2024 S2 (same type asked 12 times) See all 12 of this type

    132
    The shaded region in the following figure represents the solution set for a certain linear programming problem. Then linear constraints for this region are given by

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  2. Question 2

    Differential Equations. Asked once: 26 Apr 2025 S1 (same type asked 11 times) See all 11 of this type

    141
    The differential equation which represents the family of curves y=c1ec2xy=c_{1}e^{c_{2}x}, where c1,c2c_{1},c_{2} are arbitrary constants is

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  3. Question 3

    Vectors. Asked once: 9 May 2024 S1 (same type asked 11 times) See all 11 of this type

    118
    If [(a⃗+2b⃗+3c⃗)×(b⃗+2c⃗+3a⃗)]⋅(c⃗+2a⃗+3b⃗)=54[(\vec{a}+2\vec{b}+3\vec{c})\times(\vec{b}+2\vec{c}+3\vec{a})]\cdot(\vec{c}+2\vec{a}+3\vec{b})=54, then the value of [a⃗ b⃗ c⃗][\vec{a}\,\vec{b}\,\vec{c}] is

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  4. Question 4

    Differential Equations. Asked once: 15 Apr 2026 S1 (same type asked 11 times) See all 11 of this type

    87
    The solution of the differential equation x2dydx−xy=1x^2\dfrac{dy}{dx} - xy = 1 is...

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  5. Question 5

    Binomial Distribution. Asked once: 25 Apr 2025 S1 (same type asked 10 times) See all 10 of this type

    135
    A pair of fair dice is thrown 4 times. If getting the same number on both dice is considered as a success, then the probability of two successes are

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