PYQ Vault

Day 436: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 15 May 2026 S1

    77
    The approximate surface area of a sphere of radius 2.012.01 cm is

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  2. Question 2

    Binomial Distribution. Asked once: 15 May 2023 S2

    137
    Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five is

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  3. Question 3

    Circle. Asked once: 19 Apr 2026 S2

    57
    A circle passes through the point (0,1)(0, 1) and touches the parabola y=x2y = x^2 at the point (1,1)(1, 1). The centre of the circle is...

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  4. Question 4

    Complex Numbers. Asked once: 22 Apr 2025 S2

    115
    z=3+2isinθ1−2isinθ,(i=−1)z =\frac{3 + 2isin\theta}{1 - 2isin\theta},(i =\sqrt{- 1}) will be purely imaginary if θ=\theta =

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  5. Question 5

    Conic Sections. Asked once: 13 May 2026 S2

    64
    The equation of the hyperbola formed by the locus of the point of intersection of the lines 5x−y−25μ=0\sqrt{5}x - y - 2\sqrt{5}\mu = 0, and 5μx+μy−25=0\sqrt{5}\mu x + \mu y - 2\sqrt{5} = 0, where μ\mu is a variable parameter, is...

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