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Day 447: MHT-CET Maths

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

  1. Question 1

    Differential Equations. Asked once: 19 Apr 2025 S2

    131
    A normal is drawn at a point P(x,y)P(x,y) of a curve y=f(x)y= f(x). The normal meets the X axis at Q . l(PQ)=kl(PQ) = k. ( k is a constant) Then equation of the curve through (0,k)(0,k) is

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  2. Question 2

    Differentiation. Asked once: 14 May 2026 S1

    71
    If y=cos⁡−1xy = \cos^{-1}x, then d2ydx2=\dfrac{d^2y}{dx^2} =

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  3. Question 3

    Indefinite Integration. Asked once: 13 May 2026 S2

    81
    ∫xsec⁡(x32)tan⁡(x32)dx=\displaystyle\int\sqrt{x}\sec\left(x^{\frac{3}{2}}\right)\tan\left(x^{\frac{3}{2}}\right)dx =

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  4. Question 4

    Limits. Asked once: 13 Apr 2026 S2

    61
    The value of lim⁡n→∞(n+2)!+(n+1)!(n+2)!−(n+1)!\lim_{n \to \infty}\dfrac{(n + 2)! + (n + 1)!}{(n + 2)! - (n + 1)!} is ____

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  5. Question 5

    Line and Plane. Asked once: 13 May 2026 S1

    92
    Let AA be the point on line x−1=y−2=z−1x - 1 = y - 2 = z - 1 and BB be the foot of perpendicular drawn from AA on a plane 2x−y+z=82x - y + z = 8 and AB=4AB = 4. If CC is the point of intersection of the line and the plane, then the square of the distance between BB and CC is:

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