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Day 476: MHT-CET Maths

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

  1. Question 1

    Sets, Relations and Functions. Asked once: 16 May 2023 S1

    119
    Let P={θ:sin⁡θ−cos⁡θ=2cos⁡θ}P = \{\theta : \sin\theta - \cos\theta = \sqrt{2}\cos\theta\} and Q={θ:sin⁡θ+cos⁡θ=2sin⁡θ}Q = \{\theta : \sin\theta + \cos\theta = \sqrt{2}\sin\theta\} be two sets, then

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  2. Question 2

    Straight Line. Asked once: 19 Apr 2025 S2

    102
    A straight line through the origin OO meets the line 3y=10−4x3y= 10 - 4x and 8x+6y+5=08x+ 6y+ 5 = 0 at the points A and B respectively. Then O divides the segment AB in the ratio

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  3. Question 3

    Trigonometric Functions. Asked once: 19 Apr 2026 S1

    69
    If sin⁡−1(tan⁡π4)−sin⁡−1(3x)=π6\sin^{-1}\left(\tan\dfrac{\pi}{4}\right) - \sin^{-1}\left(\sqrt{\dfrac{3}{x}}\right) = \dfrac{\pi}{6} then xx is a root of the equation

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  4. Question 4

    Trigonometry - II. Asked once: 25 Apr 2025 S1

    131
    The maximum value of the function asinx+bcosxasinx+ bcosx is

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  5. Question 5

    Vectors. Asked once: 12 May 2026 S1

    91
    Let OO be the origin in 3D space. If the vertices A(2,p,−3),B(q,−2,5)A(2, p, -3), B(q, -2, 5), and C(−5,1,r)C(-5, 1, r) of a triangle satisfy the vector relation PA‾+PB‾+PC‾=3PO‾\overline{PA} + \overline{PB} + \overline{PC} = 3\overline{PO} for any point PP in space, then the values of (p,q,r)(p, q, r) respectively are ...

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