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Day 146: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. This type asked 2 times: May 2021 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 2 of this type

    74
    The maximum volume (in cubic units) of a right circular cylinder for which the sum of the square of its height and the square of its radius of base 4848, is

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  2. Question 2

    Conic Sections. This type asked 2 times: 21 Apr 2025 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 2 of this type

    56
    The equation of the common tangent to the parabolas y2=4xy^2 = 4x and x2=32yx^2 = 32y is ...

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  3. Question 3

    Line and Plane. This type asked 2 times: 22 Apr 2025 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 2 of this type

    97
    The planes 5x−2y+3z=95x - 2y + 3z = 9 and 15x−6y+9z=−515x - 6y + 9z = -5 are

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  4. Question 4

    Definite Integration. This type asked 2 times: 14 May 2026 S1, 19 May 2026 S1. This one: 19 May 2026 S1 See all 2 of this type

    85
    If ∫0f(x)dt=xcos⁡(πx)\displaystyle\int_0^{f(x)} dt = x\cos(\pi x) then f′(4)=…f'(4) = \ldots

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  5. Question 5

    Differentiation. This type asked 2 times: 4 May 2023 S1, 19 May 2026 S1. This one: 19 May 2026 S1 See all 2 of this type

    72
    Let 3f(x)−2f(1x)=x3f(x) - 2f\left(\dfrac{1}{x}\right) = x for x≠0x \neq 0. Then the value of f′(2)f'(2) is:

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