PYQ Vault

Day 266: MHT-CET Maths

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

  1. Question 1

    Definite Integration. Asked once: 16 Apr 2026 S2 (same type asked 13 times) See all 13 of this type

    81
    The value of ∫−ππ2x(1+sin⁡x)1+cos⁡2x dx\displaystyle\int_{-\pi}^{\pi}\dfrac{2x(1 + \sin x)}{1 + \cos^2 x}\,dx is...

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  2. Question 2

    Trigonometric Functions. Asked once: 26 Apr 2025 S2 (same type asked 12 times) See all 12 of this type

    115
    Considering only the principal values of the inverse trigonometric functions, the value of tan⁡(sin⁡−1(35)−2cos⁡−1(25))\tan\left( \sin^{- 1}\left( \frac{3}{5} \right)- 2\cos^{- 1}\left( \frac{2}{\sqrt{5}} \right) \right) is

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  3. Question 3

    Vectors. Asked once: 25 Apr 2025 S2 (same type asked 12 times) See all 12 of this type

    132
    If b‾\overline{b} and c‾\overline{c} are unit vectors and ∣a‾∣=7|\overline{a}| = 7, a‾×(b‾×c‾)+b‾×(c‾×a‾)=12a‾\overline{a}\times (\overline{b}\times\overline{c}) +\overline{b}\times (\overline{c}\times\overline{a}) =\frac{1}{2}\overline{a}, then angle between the vectors aˉ\bar{a} and cˉ\bar{c} and angle between the vectors bˉ\bar{b} and cˉ\bar{c} are respectively

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  4. Question 4

    Binomial Distribution. Asked once: 20 Apr 2025 S1 (same type asked 12 times) See all 12 of this type

    116
    If X is a binomial variable with range {0,1,2,3,4}\mathbf{\{ 0,1,2,3,4\}} and P(X=3)=3P(X=4)P(X = 3) = 3P(X = 4) then the parameter ' pp ' of the binomial distribution is.

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  5. Question 5

    Linear Programming. Asked once: 22 Apr 2025 S2 (same type asked 12 times) See all 12 of this type

    129
    The correct constraints for the given feasible region are ....

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