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Day 136: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked 2 times: 9 May 2023 S2*, 10 May 2024 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    102
    Square plate contracting at 4 cm2^2/sec. Rate of decrease of perimeter when side = 20 cm is

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  2. Question 2

    Line and Plane. Asked 2 times: 4 May 2023 S2, 10 May 2024 S1 See all 2 times it was asked

    113
    Plane P through (2,1,0),(4,1,1),(5,0,1). Image of R(2,1,6) in plane P is

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  3. Question 3

    Line and Plane. Asked 2 times: 4 May 2023 S2*, 10 May 2024 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    108
    Line through A(3,4,1) and B(5,1,6) crosses XZ-plane at

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  4. Question 4

    Circle. Asked 2 times: 15 May 2023 S2, 9 May 2024 S2 See all 2 times it was asked

    118
    If the sides of a rectangle are given by the equations x=−2, x=6, y=−2, y=5x = -2,\ x = 6,\ y = -2,\ y = 5, then the equation of the circle, drawn on the diagonal of this rectangle as its diameter, is

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  5. Question 5

    Line and Plane. Asked 2 times: 9 May 2023 S2, 9 May 2024 S2 See all 2 times it was asked

    113
    If a line LL is the line of intersection of the planes 2x+3y+z=12x + 3y + z = 1 and x+3y+2z=2x + 3y + 2z = 2. If line LL makes an angle α\alpha with the positive X-axis, then the value of sec⁡α\sec\alpha is

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