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Day 496: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 13 Apr 2026 S2

    93
    The vector equation of the plane which is at a distance of 55 units from the origin and normal to the vector 2i^+j^−2k^2\hat{i} + \hat{j} - 2\hat{k} is

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  2. Question 2

    Probability Distribution. Asked once: 12 May 2024 S2

    147
    A box contains 100 tickets numbered 1 to 100. A ticket is drawn at random from the box. Then the probability, that number on the ticket is a perfect square, is

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  3. Question 3

    Straight Line. Asked once: 10 May 2023 S2

    142
    The number of integer values of m, for which x-coordinate of the point of intersection of the lines 3x+4y=93x+4y=9 and y=mx+1y=mx+1 is also an integer, is

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  4. Question 4

    Trigonometric Functions. Asked once: 15 Apr 2026 S2

    66
    Let P1,P2,P3P_1, P_2, P_3 be the altitudes of a triangle ABC from the vertices A, B, C respectively. If △\triangle denotes the area of the triangle and s is the semi-perimeter of the triangle, then cos⁡AP1+cos⁡BP2+cos⁡CP3=\dfrac{\cos A}{P_1} + \dfrac{\cos B}{P_2} + \dfrac{\cos C}{P_3} =

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  5. Question 5

    Trigonometry - II. Asked once: 13 May 2024 S2

    141
    If (1+1+x)tan⁡x=1+1−x(1+\sqrt{1+x})\tan x=1+\sqrt{1-x}, then sin⁡4x\sin4x is:

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