PYQ Vault

Day 172: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 16 Apr 2026 S1 (same type asked 12 times) See all 12 of this type

    67
    cos⁡(cos⁡−1(−12)+π3)=\cos\left(\cos^{-1}\left(-\dfrac{1}{2}\right) + \dfrac{\pi}{3}\right) =

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  2. Question 2

    Vectors. Asked once: 13 Apr 2026 S2 (same type asked 12 times) See all 12 of this type

    92
    If aˉ,bˉ,cˉ\bar{a}, \bar{b}, \bar{c} are three non zero and non-coplanar vectors such that aˉ×(bˉ×cˉ)=bˉ2\bar{a} \times (\bar{b} \times \bar{c}) = \dfrac{\bar{b}}{2}, then the angle between aˉ\bar{a} and bˉ\bar{b} is ...

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  3. Question 3

    Binomial Distribution. Asked once: 21 Apr 2025 S1 (same type asked 12 times) See all 12 of this type

    101
    If a random variable X follows the Binomial distribution B(10,p)B(10,p) such that 5P(X=0)=P(X=1)5P(X = 0) = P(X = 1), then the value of P(X=5)P(X=6)\frac{P(X = 5)}{P(X = 6)} is equal to

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  4. Question 4

    Linear Programming. Asked once: 17 Apr 2026 S2 (same type asked 12 times) See all 12 of this type

    97
    In the following figure, the shaded region represents the system of constraints:

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  5. Question 5

    Differential Equations. Asked once: 13 May 2026 S2 (same type asked 11 times) See all 11 of this type

    88
    The differential equation of the equation y=acos⁡(x+b)y = a\cos(x + b) is

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