PYQ Vault
EbooksTutor

Day 477: MHT-CET Maths

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

  1. Question 1

    Applications of Definite Integral. Asked once: May 2021 S1

    149
    The area in the positive quadrant enclosed by the circle x2+y2=4x^2+y^2=4, the line x=y3x=y\sqrt{3} and x-axis is

    Tap an option to check your answer.

  2. Question 2

    Applications of Derivative. Asked once: 16 Apr 2026 S1

    74
    The function f(x)=tan⁡−1(sin⁡x+cos⁡x)f(x) = \tan^{-1}(\sin x + \cos x) is an increasing function in the interval.....

    Tap an option to check your answer.

  3. Question 3

    Circle. Asked once: 4 May 2023 S1

    136
    The equation of the circle which has its centre at the point (3,4)(3,4) and touches the line 5x+12y−11=05x+12y-11=0 is

    Tap an option to check your answer.

  4. Question 4

    Conic Sections. Asked once: 26 Apr 2025 S1

    125
    The angle between the tangents drawn from the point (1,4)(1,4) to the parabola y2=4xy^{2}= 4x, is

    Tap an option to check your answer.

  5. Question 5

    Definite Integration. Asked once: 18 Apr 2026 S2

    80
    If ∫02x(2−x)b dx=327\int_0^2 x(2 - x)^b\,dx = \dfrac{32}{7}, where b∈Nb \in N then b=b =

    Tap an option to check your answer.