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Day 470: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 18 Apr 2026 S2

    77
    If a particle moves such that the displacement (s) is proportional to the square of the velocity (v), then its acceleration (a) is

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  2. Question 2

    Circle. Asked once: 10 May 2023 S2

    122
    Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, then 2r2r equals

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  3. Question 3

    Complex Numbers. Asked once: 3 May 2023 S1

    132
    If ∣z∣=1|z|=1 and w=z−1z+1w=\frac{z-1}{z+1} (where z≠−1z\neq-1), then Re(w)\text{Re}(w) is

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  4. Question 4

    Conic Sections. Asked once: 13 Apr 2026 S2

    60
    The distance of the focus of the parabola y2=16xy^2 = 16x from its directrix is...

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  5. Question 5

    Definite Integration. Asked once: 19 Apr 2026 S2

    80
    The value of integral ∫0∞11+ex dx\int_0^\infty\dfrac{1}{1 + e^x}\,dx is...

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