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Day 113: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. Asked 2 times: 22 Apr 2025 S2, 13 Apr 2026 S1 See all 2 times it was asked

    79
    ∫e2x2(sin⁡2xcos⁡2x−1)2sin⁡22x dx=Ae2xcot⁡2x+c\displaystyle\int e^{2x}\dfrac{2(\sin 2x\cos 2x - 1)}{2\sin^2 2x}\,dx = Ae^{2x}\cot 2x + c (Where c is the constant of integration.), then A3=A^3 =

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  2. Question 2

    Mathematical Logic. Asked 2 times: 21 Apr 2025 S1, 13 Apr 2026 S1 See all 2 times it was asked

    62
    The statement pattern (p∧q)→(r∨∼s)(p \wedge q) \to (r \vee \sim s) is false. Then the truth values of p,q,rp, q, r and ss are respectively

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  3. Question 3

    Trigonometric Functions. Asked 2 times: 10 May 2024 S2*, 13 Apr 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    65
    With usual notations, in △ABC\triangle ABC, (b−c)2cos⁡2A2+(b+c)2sin⁡2A2=(b - c)^2\cos^2\dfrac{A}{2} + (b + c)^2\sin^2\dfrac{A}{2} =

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  4. Question 4

    Binomial Distribution. Asked 2 times: 19 Apr 2025 S2, 11 Apr 2026 S2 See all 2 times it was asked

    97
    If X∼B(n,p)X \sim B(n, p), then the value of P(X=k)P(X=k−1)\dfrac{P(X = k)}{P(X = k - 1)} is

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  5. Question 5

    Binomial Distribution. Asked 2 times: 11 May 2023 S1, 11 Apr 2026 S2 See all 2 times it was asked

    99
    The probability mass function of a random variable X is given by P(X=x)=5Cx25P(X = x) = \dfrac{{}^5C_x}{2^5}, for x=0,1,2,3,4,5x = 0, 1, 2, 3, 4, 5 and =0= 0, otherwise. Then which of the following is correct?

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