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Day 500: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 13 Apr 2026 S1

    91
    The point having position vector 4i^−11j^+2k^4\hat{i} - 11\hat{j} + 2\hat{k} lies on the line

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  2. Question 2

    Probability Distribution. Asked once: 16 May 2023 S2

    147
    The cumulative distribution function of a discrete random variable X is given by: F(-1)=0.3, F(0)=0.7, F(1)=0.8, F(2)=1. Then E(X2)=E(X^2) =

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  3. Question 3

    Straight Line. Asked once: 9 May 2023 S1

    146
    The straight line 2x−3y+17=02x-3y+17=0 is perpendicular to the line passing through the points (7,17)(7,17) and (15,β)(15,\beta), then β\beta equals

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  4. Question 4

    Trigonometric Functions. Asked once: 13 Apr 2026 S2

    53
    If sin⁡3α=4sin⁡α⋅sin⁡(x+α)⋅sin⁡(x−α)\sin 3\alpha = 4\sin\alpha \cdot \sin(x + \alpha) \cdot \sin(x - \alpha) where α≠nπ,n∈Z\alpha \neq n\pi, n \in Z, then all possible values of xx are given as

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  5. Question 5

    Trigonometry - II. Asked once: 11 May 2024 S2

    129
    If cos⁡x+cos⁡y−cos⁡(x+y)=32\cos x+\cos y-\cos(x+y)=\frac{3}{2}, then

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