PYQ Vault
EbooksTutor

Day 305: MHT-CET Maths

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

  1. Question 1

    Applications of Definite Integral. Asked once: 13 Apr 2026 S2 (same type asked 4 times) See all 4 of this type

    84
    The area of the region bounded by the curve y=x3y = x^3 and the lines y=8y = 8 and x=0x = 0 is ... square units.

    Tap an option to check your answer.

  2. Question 2

    Conic Sections. Asked once: 26 Apr 2025 S2 (same type asked 4 times) See all 4 of this type

    141
    The tangent to the ellipse 9x2+16y2=2889x^{2}+ 16y^{2}= 288 making equal intercepts on the co-ordinate axes intersects the X -axis and the Y -axis in the points A and B respectively. Then A(△OAB)=A( \bigtriangleup OAB) = (where O is origin)

    Tap an option to check your answer.

  3. Question 3

    Sets, Relations and Functions. Asked once: 12 May 2024 S2 (same type asked 4 times) See all 4 of this type

    126
    If f(x)=x2+1f(x) = x^2+1 and g(x)=1xg(x) = \frac{1}{x}, then the value of f(g(g(f(x))))f(g(g(f(x)))) at x=1x = 1 is

    Tap an option to check your answer.

  4. Question 4

    Differential Equations. Asked once: 19 Apr 2025 S2 (same type asked 4 times) See all 4 of this type

    129
    The solution of dy dx=(x+y)2\frac{dy}{\text{ }dx}= (x+y)^{2} is

    Tap an option to check your answer.

  5. Question 5

    Trigonometric Functions. Asked once: 2 May 2023 S1 (same type asked 4 times) See all 4 of this type

    141
    The value of sin⁡(2cos⁡−1(−35))\sin\left(2\cos^{-1}\left(-\dfrac{3}{5}\right)\right) is

    Tap an option to check your answer.