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Day 233: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. Asked once: 11 Apr 2026 S1 (same type asked 3 times) See all 3 of this type

    99
    If the following function is probability density function of r.v. X f(x)=kx2(1−x)f(x) = kx^2(1 - x), for 0<x<1=00 < x < 1 = 0, otherwise, then the value of kk is

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  2. Question 2

    Trigonometric Functions. Asked once: 23 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    129
    The value of tan⁡2(sec⁡−14)+cot⁡2(csc⁡−13)\tan^{2}\left( \sec^{- 1}4 \right)+\cot^{2}\left( \csc^{- 1}3 \right) is

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  3. Question 3

    Pair of Straight Lines. Asked once: 11 Apr 2026 S2 (same type asked 3 times) See all 3 of this type

    57
    If the distance between the lines represented by (x−2y)2+k(x−2y)=0(x - 2y)^2 + k(x - 2y) = 0 is 33 units and k>0k > 0 then the equations of the lines are

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  4. Question 4

    Permutations and Combinations. Asked once: 26 Apr 2025 S2 (same type asked 3 times) See all 3 of this type

    124
    The number of ways in which 6 boys and 4 girls can be seated around a round table such that 2 special boys and a special girl never sit together is

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  5. Question 5

    Circle. Asked once: 12 May 2024 S2 (same type asked 3 times) See all 3 of this type

    148
    The circles x2+y2+2ax+c=0x^2+y^2+2ax+c=0 and x2+y2+2by+c=0x^2+y^2+2by+c=0 touch each other externally, if

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