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Day 504: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 26 Apr 2025 S1

    129
    A triangle ABC is formed by A(1,−1,0)A(1, - 1,0), B(3,5,3),C(−11,−5,6)B(3,5,3),C( - 11, - 5,6). The equation of internal angle bisector of angle A is

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  2. Question 2

    Probability Distribution. Asked once: 15 May 2023 S1

    102
    For the probability distribution: x:0,1,2,3,4,5x: 0,1,2,3,4,5; p(x):k,0.3,0.15,0.15,0.1,2kp(x): k, 0.3, 0.15, 0.15, 0.1, 2k. The Expected value of X is

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  3. Question 3

    Trigonometric Functions. Asked once: 13 Apr 2026 S1

    54
    The number of solutions in [0,π2)\left[0, \dfrac{\pi}{2}\right) of the equation cos⁡3x⋅tan⁡5x=sin⁡7x\cos 3x \cdot \tan 5x = \sin 7x is

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  4. Question 4

    Trigonometry - II. Asked once: 16 May 2023 S2

    125
    The value of cos⁡20∘+2sin⁡255∘−2sin⁡65∘\cos 20^\circ + 2\sin^2 55^\circ - \sqrt{2}\sin 65^\circ is

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  5. Question 5

    Vectors. Asked once: 17 Apr 2026 S1

    89
    In △OAB, O(0,0,0), A(6,2,−3)\triangle OAB,\ O(0, 0, 0),\ A(6, 2, -3) and B(4,0,3)B(4, 0, 3) are the vertices. Let a⃗\vec{a} and b⃗\vec{b} be position vectors of points AA and BB respectively and OMOM is the projection of a⃗\vec{a} on b⃗\vec{b} then l(AM)l(AM) is equal to...

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