PYQ Vault
EbooksTutor

Day 265: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 12 May 2026 S2 (same type asked 14 times) See all 14 of this type

    66
    If cot⁡−12\cot^{-1}2 and cot⁡−13\cot^{-1}3 are the angles of a triangle, then the third angle is ...

    Tap an option to check your answer.

  2. Question 2

    Mathematical Logic. Asked once: 20 Apr 2026 S2 (same type asked 14 times) See all 14 of this type

    60
    If ∼p∨q\sim p \vee q is false then which of the following is correct?

    Tap an option to check your answer.

  3. Question 3

    Differential Equations. Asked once: 20 Apr 2026 S1 (same type asked 14 times) See all 14 of this type

    87
    The order and degree of the differential equation (d3ydx3)23−3d2ydx2+5dydx+4=0\left(\dfrac{d^3y}{dx^3}\right)^{\frac{2}{3}} - 3\dfrac{d^2y}{dx^2} + 5\dfrac{dy}{dx} + 4 = 0 are respectively

    Tap an option to check your answer.

  4. Question 4

    Mathematical Logic. Asked once: 19 Apr 2026 S2 (same type asked 14 times) See all 14 of this type

    62
    If ∼p→q\sim p \to q is false and q↔rq \leftrightarrow r is false, then the truth value of (p,q,r)(p, q, r) is...

    Tap an option to check your answer.

  5. Question 5

    Line and Plane. Asked once: 17 Apr 2026 S1 (same type asked 13 times) See all 13 of this type

    95
    If the lines r⃗=i^+j^−k^+λ(qi^−2j^+k^)\vec{r} = \hat{i} + \hat{j} - \hat{k} + \lambda(q\hat{i} - 2\hat{j} + \hat{k}) and r⃗=pi^−3j^+2k^+μ(i^−2j^+2k^)\vec{r} = p\hat{i} - 3\hat{j} + 2\hat{k} + \mu(\hat{i} - 2\hat{j} + 2\hat{k}) intersect each other and qi^−2j^+k^q\hat{i} - 2\hat{j} + \hat{k} is collinear to 4i^−4j^+2k^4\hat{i} - 4\hat{j} + 2\hat{k}, then the values of pp and qq are

    Tap an option to check your answer.