PYQ Vault
EbooksTutor

Day 171: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. Asked once: 13 May 2026 S1 (same type asked 14 times) See all 14 of this type

    65
    If the statement pattern (p∨∼q)∧(∼p∨q)(p \vee \sim q) \wedge (\sim p \vee q) is true, then which of the following is true?

    Tap an option to check your answer.

  2. Question 2

    Differential Equations. Asked once: 14 May 2026 S1 (same type asked 14 times) See all 14 of this type

    86
    Degree of differential equation (dydx)2+53=1+(dxdy)34+(dydx)5\sqrt[3]{\left(\dfrac{dy}{dx}\right)^2 + 5} = \dfrac{1 + \left(\dfrac{dx}{dy}\right)^3}{\sqrt{4 + \left(\dfrac{dy}{dx}\right)^5}} is

    Tap an option to check your answer.

  3. Question 3

    Mathematical Logic. Asked once: 14 May 2026 S1 (same type asked 14 times) See all 14 of this type

    65
    If p∧qp \wedge q is F and p→qp \to q is F, then the truth values of pp and qq respectively are

    Tap an option to check your answer.

  4. Question 4

    Line and Plane. Asked once: 12 May 2026 S1 (same type asked 13 times) See all 13 of this type

    96
    If the lines rˉ=(i^−j^+2k^)+λ(i^+2k^)\bar{r} = (\hat{i} - \hat{j} + 2\hat{k}) + \lambda(\hat{i} + 2\hat{k}) and x−p2=y+2=z+1\dfrac{x - p}{2} = y + 2 = z + 1 intersect, then the value of pp is ...

    Tap an option to check your answer.

  5. Question 5

    Definite Integration. Asked once: 20 Apr 2026 S2 (same type asked 13 times) See all 13 of this type

    83
    If ∫−π/2π/2(sin⁡2x+sin⁡3x) dx=k\int_{-\pi/2}^{\pi/2}(\sin^2 x + \sin^3 x)\,dx = k, then the value of kk

    Tap an option to check your answer.