PYQ Vault

Day 502: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 11 Apr 2026 S1

    95
    If the lines L1:x−1−3=y−22k=z−32,L2:x−13k=y−51=z−6−5L_1: \dfrac{x - 1}{-3} = \dfrac{y - 2}{2k} = \dfrac{z - 3}{2}, L_2: \dfrac{x - 1}{3k} = \dfrac{y - 5}{1} = \dfrac{z - 6}{-5} are perpendicular to each other, then the equation of a plane containing the line L1L_1 and parallel to the line L2L_2 for the value of kk that satisfies this condition is ...

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  2. Question 2

    Probability Distribution. Asked once: 15 May 2023 S2

    136
    Suppose three coins are tossed simultaneously. If xx denotes the number of heads, then probability distribution of xx is

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  3. Question 3

    Straight Line. Asked once: 2 May 2023 S1

    131
    If two lines x+(a−1)y=1x + (a-1)y = 1 and 2x+a2y=12x + a^2y = 1 (a∈R∖{0,1}a \in \mathbb{R} \setminus \{0,1\}) are perpendicular, then the distance of their point of intersection from the origin is

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  4. Question 4

    Trigonometric Functions. Asked once: 13 Apr 2026 S1

    64
    With usual notations, in △ABC\triangle ABC, if 2a2=b2+c22a^2 = b^2 + c^2, then cos⁡3Acos⁡A+2=\dfrac{\cos 3A}{\cos A} + 2 =

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  5. Question 5

    Trigonometry - II. Asked once: 9 May 2024 S2

    127
    If cos⁡2B=cos⁡(A+C)cos⁡(A−C)\cos 2B = \dfrac{\cos(A+C)}{\cos(A-C)}, then tan⁡A,tan⁡B,tan⁡C\tan A, \tan B, \tan C are in

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