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Day 191: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 15 Apr 2026 S1 (same type asked 6 times) See all 6 of this type

    94
    The direction cosines of a line which is perpendicular to the lines x−72=y+17−3=z−61\dfrac{x - 7}{2} = \dfrac{y + 17}{-3} = \dfrac{z - 6}{1} and x+51=y+32=z−6−2\dfrac{x + 5}{1} = \dfrac{y + 3}{2} = \dfrac{z - 6}{-2} are...

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  2. Question 2

    Probability Distribution. Asked once: 4 May 2023 S1 (same type asked 6 times) See all 6 of this type

    115
    A random variable has the following probability distribution XX: 0, 1, 2, 3, 4, 5, 6, 7 P(x)P(x): 0,2p,2p,3p,p2,2p2,7p2,2p0, 2p, 2p, 3p, p^2, 2p^2, 7p^2, 2p The then value of pp is

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  3. Question 3

    Differential Equations. Asked once: 12 May 2024 S2 (same type asked 6 times) See all 6 of this type

    118
    Water flows from the base of rectangular tank, of depth 16 meters. The rate of flow of the water is proportional to the square root of depth at any time tt. If depth is 4 m when t=2t = 2 hours, then after 3.5 hours the depth (in meters) is

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  4. Question 4

    Line and Plane. Asked once: 15 Apr 2026 S2 (same type asked 6 times) See all 6 of this type

    96
    The distance of the point (1,0,−3)(1, 0, -3) from the plane x−y−z=9x - y - z = 9 measured parallel to the line x−22=y+23=z−6−6\dfrac{x - 2}{2} = \dfrac{y + 2}{3} = \dfrac{z - 6}{-6} is

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  5. Question 5

    Trigonometric Functions. Asked once: 14 May 2024 S1 (same type asked 6 times) See all 6 of this type

    146
    The principal solutions of the equation sec⁡x+tan⁡x=2cos⁡x\sec x+\tan x=2\cos x are

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