PYQ Vault
EbooksTutor

Day 9: MHT-CET Maths

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

  1. Question 1

    Differentiation. This type asked 9 times: 11 May 2023 S2, 20 Apr 2025 S1, 20 Apr 2025 S2, 22 Apr 2025 S2, 20 Apr 2026 S1, 13 May 2026 S2, 14 May 2026 S1, 14 May 2026 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 9 of this type

    75
    If y=(log⁡x)log⁡xy = (\log x)^{\log x} and dydx=yx×f(x)\dfrac{dy}{dx} = \dfrac{y}{x} \times f(x) then f(x)=…f(x) = \ldots

    Tap an option to check your answer.

  2. Question 2

    Applications of Derivative. This type asked 9 times: 2 May 2023 S1, 13 May 2024 S2, 25 Apr 2025 S1, 25 Apr 2025 S2, 11 Apr 2026 S2, 15 Apr 2026 S1, 18 Apr 2026 S2, 12 May 2026 S2, 14 May 2026 S2. This one: 14 May 2026 S2 See all 9 of this type

    78
    If Rolle's theorem holds for the function f(x)=x2−px+10f(x) = x^2 - px + 10, x∈[0,4]x \in [0, 4] with c=2c = 2, then p=p =

    Tap an option to check your answer.

  3. Question 3

    Applications of Derivative. This type asked 9 times: 2 May 2023 S2, 9 May 2023 S1, 10 May 2023 S2, 9 May 2024 S1, 10 May 2024 S2, 13 May 2024 S2, 19 Apr 2025 S1, 21 Apr 2025 S2, 14 May 2026 S1. This one: 14 May 2026 S1 See all 9 of this type

    77
    In the Lagrange's Mean Value Theorem, f(b)−f(a)=(b−a)f′(c);(a<c<b)f(b) - f(a) = (b - a)f'(c); (a < c < b). If a=2,b=4a = 2, b = 4 and f(x)=x2−4f(x) = \sqrt{x^2 - 4}, then the value of cc is

    Tap an option to check your answer.

  4. Question 4

    Mathematical Logic. This type asked 9 times: 3 May 2023 S1, 11 May 2023 S2, 9 May 2024 S2, 20 Apr 2025 S2, 26 Apr 2025 S2, 13 Apr 2026 S1, 17 Apr 2026 S2, 19 Apr 2026 S1, 13 May 2026 S1. This one: 13 May 2026 S1 See all 9 of this type

    66
    Consider the following statements: (i) ∼(p∧∼q)\sim(p \wedge \sim q) (ii) (p→q)↔(∼q→∼p)(p \to q) \leftrightarrow (\sim q \to \sim p) Result 1 : (i) and (ii) are logically equivalent Result 2 : (ii) is a contradiction then which of the following is correct?

    Tap an option to check your answer.

  5. Question 5

    Definite Integration. This type asked 9 times: 10 May 2023 S1, 12 May 2024 S1, 12 May 2024 S2, 20 Apr 2025 S1, 26 Apr 2025 S2, 15 Apr 2026 S2, 18 Apr 2026 S2, 19 Apr 2026 S2, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 9 of this type

    82
    The value of the integral ∫1/ee∣log⁡x∣x2 dx\int_{1/e}^{e}\dfrac{|\log x|}{x^2}\,dx is

    Tap an option to check your answer.