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Day 38: MHT-CET Maths

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

  1. Question 1

    Line and Plane. This type asked 5 times: 11 May 2024 S1, 12 May 2024 S1, 13 May 2024 S2, 18 Apr 2026 S1, 12 May 2026 S2. This one: 12 May 2026 S2 See all 5 of this type

    94
    The volume of the tetrahedron formed by the plane 6x+4y−5z−60=06x + 4y - 5z - 60 = 0 and the coordinate planes is ........... cubic units

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  2. Question 2

    Linear Programming. This type asked 5 times: 22 Apr 2025 S1, 13 Apr 2026 S2, 15 Apr 2026 S2, 20 Apr 2026 S1, 12 May 2026 S2. This one: 12 May 2026 S2 See all 5 of this type

    97
    The minimum and maximum values of the objective function Z=3x+9yZ = 3x + 9y, subject to x+3y≤60,x+y≥10,x≤y,x≥0,y≥0x + 3y \le 60, x + y \ge 10, x \le y, x \ge 0, y \ge 0 are respectively...

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  3. Question 3

    Trigonometric Functions. This type asked 5 times: May 2021 S1, 22 Apr 2025 S2, 23 Apr 2025 S1, 17 Apr 2026 S1, 12 May 2026 S1. This one: 12 May 2026 S1 See all 5 of this type

    54
    In ΔABC\Delta ABC, with usual notations, if sin⁡B−cos⁡C=cos⁡A\sin B - \cos C = \cos A, then

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  4. Question 4

    Applications of Definite Integral. This type asked 5 times: 10 May 2023 S1, 10 May 2024 S1, 11 Apr 2026 S1, 13 Apr 2026 S1, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 5 of this type

    85
    The area in square units of the region bounded by the curve y=16−x2y = \sqrt{16 - x^2} and lines x=0,x=4x = 0, x = 4 above the X-axis is

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  5. Question 5

    Indefinite Integration. This type asked 5 times: 15 May 2023 S1, 10 May 2024 S1, 11 Apr 2026 S1, 11 Apr 2026 S2, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 5 of this type

    80
    ∫12x−x2 dx=\displaystyle\int\dfrac{1}{\sqrt{2x - x^2}}\,dx =

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