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Day 185: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. Asked once: 22 Apr 2025 S2 (same type asked 7 times) See all 7 of this type

    143
    Three urns respectively contain 2 white and 3 black, 3 white and 2 black and 1 white and 4 black balls. If one ball is drawn from each urn, then the probability that the selection contains 1 black and 2 white balls is

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  2. Question 2

    Line and Plane. Asked once: 13 May 2026 S2 (same type asked 7 times) See all 7 of this type

    95
    If MM is the foot of the perpendicular drawn from A(4,3,2)A(4, 3, 2) on the line joining the points B(2,4,1)B(2, 4, 1) and C(4,5,3)C(4, 5, 3), the co-ordinates of MM are ____

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  3. Question 3

    Differential Equations. Asked once: 14 May 2026 S1 (same type asked 7 times) See all 7 of this type

    87
    The differential equation of system of concentric circles with center (1,2)(1, 2) is ____

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  4. Question 4

    Differentiation. Asked once: 14 May 2026 S1 (same type asked 7 times) See all 7 of this type

    73
    If x=em+e−m2x = \dfrac{e^m + e^{-m}}{2} and y=em−e−m2y = \dfrac{e^m - e^{-m}}{2} then dydx=\dfrac{dy}{dx} =

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  5. Question 5

    Line and Plane. Asked once: 18 Apr 2026 S1 (same type asked 7 times) See all 7 of this type

    95
    The coordinates of the point of intersection of the lines x−31=y−52=z−1−1\dfrac{x - 3}{1} = \dfrac{y - 5}{2} = \dfrac{z - 1}{-1} and x−42=y−2−1=z−42\dfrac{x - 4}{2} = \dfrac{y - 2}{-1} = \dfrac{z - 4}{2} are...

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