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Day 81: MHT-CET Maths

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

  1. Question 1

    Conic Sections. This type asked 3 times: 15 May 2023 S1, 22 Apr 2025 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 3 of this type

    59
    The tangent to the parabola x2=2yx^2 = 2y at point P makes an angle of 45∘45^\circ with the X-axis, then the coordinates of P are:

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  2. Question 2

    Probability Distribution. This type asked 3 times: May 2021 S1, 25 Apr 2025 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 3 of this type

    100
    Two fair dice are tossed simultaneously. Let AA be the event that the sum of the numbers is prime, and BB be the event that at least one die shows a number 5. The odds against the occurrence of event BB given that event AA has already occurred is:

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  3. Question 3

    Straight Line. This type asked 3 times: 12 May 2024 S1, 13 May 2026 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 3 of this type

    56
    The sum of the ordinates of the points on the line 4x+3y=104x + 3y = 10 whose distance from the line x+y−4=0x + y - 4 = 0 is 2\sqrt{2} is equal to ...

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  4. Question 4

    Trigonometric Functions. This type asked 3 times: 4 May 2023 S2, 14 May 2024 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 3 of this type

    68
    If cos⁡−1x+cos⁡−1y+cos⁡−1z=3π\cos^{-1}x + \cos^{-1}y + \cos^{-1}z = 3\pi, then xy+yz+zxxy + yz + zx is equal to

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  5. Question 5

    Applications of Definite Integral. This type asked 3 times: 21 Apr 2025 S1, 19 Apr 2026 S1, 14 May 2026 S2. This one: 14 May 2026 S2 See all 3 of this type

    86
    The area of the region bounded by the parabola y2=16xy^2 = 16x and the line x=4x = 4 is

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