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Day 85: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. This type asked 3 times: 22 Apr 2025 S1, 13 May 2026 S1, 13 May 2026 S2. This one: 13 May 2026 S2 See all 3 of this type

    100
    If a fair die is thrown, then the odds in favor of getting a perfect square on the uppermost face are:

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  2. Question 2

    Trigonometric Functions. This type asked 3 times: 23 Apr 2025 S1, 18 Apr 2026 S2, 13 May 2026 S2. This one: 13 May 2026 S2 See all 3 of this type

    56
    In △ABC\triangle ABC, with usual notations, the value of csc⁡⁡(A2)csc⁡⁡(B2)csc⁡⁡(C2)\operatorname{\csc}\left(\dfrac{A}{2}\right)\operatorname{\csc}\left(\dfrac{B}{2}\right)\operatorname{\csc}\left(\dfrac{C}{2}\right) is:

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  3. Question 3

    Complex Numbers. This type asked 3 times: 16 Apr 2026 S2, 12 May 2026 S2, 13 May 2026 S1. This one: 13 May 2026 S1 See all 3 of this type

    54
    If z=3+i2z = \dfrac{\sqrt{3} + i}{2}, then the value of z69z^{69} is

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  4. Question 4

    Definite Integration. This type asked 3 times: 15 May 2023 S2, 22 Apr 2025 S2, 13 May 2026 S1. This one: 13 May 2026 S1 See all 3 of this type

    83
    The value of the integral ∫10201(x−3)(x−2) dx\int_{10}^{20}\dfrac{1}{(x - 3)(x - 2)}\,dx is...

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  5. Question 5

    Indefinite Integration. This type asked 3 times: 4 May 2023 S2, 21 Apr 2025 S2, 13 May 2026 S1. This one: 13 May 2026 S1 See all 3 of this type

    80
    The value of the integral ∫x2+1(x+1)2 dx=…\displaystyle\int\dfrac{x^2 + 1}{(x + 1)^2}\,dx = \ldots

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