PYQ Vault
EbooksTutor

Day 37: MHT-CET Maths

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

  1. Question 1

    Limits. This type asked 5 times: 9 May 2023 S2, 15 May 2023 S1, 9 May 2024 S1, 18 Apr 2026 S1, 13 May 2026 S1. This one: 13 May 2026 S1 See all 5 of this type

    70
    The number of points of discontinuity of the function f(x)=1log⁡∣x2−1∣f(x) = \dfrac{1}{\log|x^2 - 1|} (where ∣⋅∣|\cdot| denotes the modulus function) is:

    Tap an option to check your answer.

  2. Question 2

    Line and Plane. This type asked 5 times: 21 Apr 2025 S1, 23 Apr 2025 S1, 13 Apr 2026 S1, 20 Apr 2026 S2, 13 May 2026 S1. This one: 13 May 2026 S1 See all 5 of this type

    91
    The equation of the plane passing through the point (0,4,3)(0, 4, 3) and containing the line x−11=y−33=z−22\dfrac{x - 1}{1} = \dfrac{y - 3}{3} = \dfrac{z - 2}{2} is ax+by+cz+d=0ax + by + cz + d = 0, (a≥0)(a \ge 0). The value of (a+b+c+d)(a + b + c + d) is

    Tap an option to check your answer.

  3. Question 3

    Pair of Straight Lines. This type asked 5 times: 11 Apr 2026 S1, 13 Apr 2026 S2, 17 Apr 2026 S2, 18 Apr 2026 S2, 13 May 2026 S1. This one: 13 May 2026 S1 See all 5 of this type

    59
    If the equation x2−y2−x+λy−2=0x^2 - y^2 - x + \lambda y - 2 = 0 (where λ>0\lambda > 0) represents a pair of lines, then the coordinates of their point of intersection are:

    Tap an option to check your answer.

  4. Question 4

    Definite Integration. This type asked 5 times: 9 May 2023 S1, 16 May 2023 S1, 15 Apr 2026 S1, 17 Apr 2026 S1, 12 May 2026 S2. This one: 12 May 2026 S2 See all 5 of this type

    82
    The value of the integral ∫−111(1+ex)(1+x2) dx\int_{-1}^{1}\dfrac{1}{(1 + e^x)(1 + x^2)}\,dx is....

    Tap an option to check your answer.

  5. Question 5

    Differential Equations. This type asked 5 times: 16 May 2023 S1, 10 May 2024 S1, 12 May 2024 S1, 13 Apr 2026 S1, 12 May 2026 S2. This one: 12 May 2026 S2 See all 5 of this type

    85
    If dydx=y+3\dfrac{dy}{dx} = y + 3, where y+3>0y + 3 > 0 and y(0)=2y(0) = 2, then y(log⁡2)y(\log 2) is equal to...

    Tap an option to check your answer.