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Day 312: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. Asked once: May 2021 S1 (same type asked 3 times) See all 3 of this type

    112
    Out of 50 tickets numbered 00, 01, 02, \ldots, 49, one ticket is drawn randomly. The probability of the ticket having the product of its digits 7, given that the sum of the digits is 8, is

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  2. Question 2

    Trigonometric Functions. Asked once: 4 May 2023 S2 (same type asked 3 times) See all 3 of this type

    128
    If cos⁡−1x+cos⁡−1y+cos⁡−1z=3π\cos^{-1}x+\cos^{-1}y+\cos^{-1}z=3\pi, then the value of x2+y2+z2−2xyzx^2+y^2+z^2-2xyz is

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  3. Question 3

    Applications of Definite Integral. Asked once: 21 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    112
    The area inside the parabola y2=4axy^{2}= 4ax, between the lines x=ax= a and x=4ax= 4a is equal to

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  4. Question 4

    Indefinite Integration. Asked once: May 2022 S1 (same type asked 3 times) See all 3 of this type

    The question involves an indefinite integral shown as an image.
    131
    ∫3x−2(x+1)(x−2)2 dx=\displaystyle\int \dfrac{3x-2}{(x+1)(x-2)^2}\,dx = (where CC is a constant of integration)

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  5. Question 5

    Straight Line. Asked once: 12 May 2026 S1 (same type asked 3 times) See all 3 of this type

    58
    A line passes through the points O(0,0),A(3,3)O(0, 0), A(3, 3). Then the polar coordinates of point A are ...

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