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Day 444: MHT-CET Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 13 Apr 2026 S1

    52
    The number of cubic equations that can be formed with the coefficients 0, 3, 2, 4, 5, 6 when repetition of coefficients is allowed, is....

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  2. Question 2

    Probability Distribution. Asked once: 19 Apr 2026 S1

    99
    Given the probability density function (p.d.f.) of the random variable X, f(x)=12af(x) = \dfrac{1}{2a}, 0<x<2a0 < x < 2a, a>0a > 0 =0= 0, otherwise, then which of the following is correct ?

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  3. Question 3

    Sequences and Series. Asked once: 9 May 2024 S2

    102
    In △PQR\triangle PQR, sin⁡P\sin P, sin⁡Q\sin Q and sin⁡R\sin R are in A.P., then

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  4. Question 4

    Sets, Relations and Functions. Asked once: 19 Apr 2026 S2

    68
    Let f(x)=1−1x,g2(x)=f(f(x)),g3(x)=f(f(f(x)))f(x) = 1 - \dfrac{1}{x}, g_2(x) = f(f(x)), g_3(x) = f(f(f(x))) and so on. If ∫x⋅g2026(x) dx=∫g2025(x) dx+h(x)+c\displaystyle\int x \cdot g_{2026}(x)\,dx = \int g_{2025}(x)\,dx + h(x) + c, then h(x)=h(x) =...

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  5. Question 5

    Straight Line. Asked once: 17 Apr 2026 S1

    55
    If A(2,−3)A(2, -3) and C(−6,7)C(-6, 7) are opposite vertices of a rhombus ABCD, then the equation of diagonal BD is

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