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Day 336: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. Asked once: 11 May 2023 S1 (same type asked 7 times) See all 7 of this type

    106
    If ∫(7x−2)3x+2 dx=A(3x+2)5/2+B(3x+2)3/2+c\int(7x-2)\sqrt{3x+2}\,dx = A(3x+2)^{5/2} + B(3x+2)^{3/2} + c (where c is a constant of integration), then the values of A and B are respectively

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  2. Question 2

    Limits. Asked once: 22 Apr 2025 S1 (same type asked 7 times) See all 7 of this type

    134
    lim⁡x→∞(x+8x+1)x+5=…\lim_{x\rightarrow \infty} \left( \frac{x+ 8}{x+ 1} \right)^{x+ 5}= \ldots

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  3. Question 3

    Line and Plane. Asked once: 17 Apr 2026 S2 (same type asked 7 times) See all 7 of this type

    92
    The equation of the perpendicular line from the point (2,−3,1)(2, -3, 1) to the line x+12=y−33=z+2−1\dfrac{x + 1}{2} = \dfrac{y - 3}{3} = \dfrac{z + 2}{-1} is

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  4. Question 4

    Differential Equations. Asked once: 9 May 2024 S2 (same type asked 7 times) See all 7 of this type

    136
    The differential equation of all circles which pass through the origin and whose centres lie on Y-axis is

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  5. Question 5

    Differentiation. Asked once: 23 Apr 2025 S1 (same type asked 7 times) See all 7 of this type

    136
    If x=asin2t (1+cos⁡2t),y=bcos2t (1−cos⁡2t)x=asin2t\ (1 + \cos2t),y=bcos2t\ (1 - \cos2t) then dy dx\frac{dy}{\text{ }dx} is equal to

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