PYQ Vault
EbooksTutor

Day 381: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 9 May 2023 S2 (same type asked 15 times) See all 15 of this type

    115
    A unit vector coplanar with i^+j^+k^\hat{i}+\hat{j}+\hat{k} and 2i^+j^+k^2\hat{i}+\hat{j}+\hat{k} and perpendicular to i^+j^−k^\hat{i}+\hat{j}-\hat{k} is

    Tap an option to check your answer.

  2. Question 2

    Binomial Distribution. Asked once: 22 Apr 2025 S1 (same type asked 14 times) See all 14 of this type

    104
    The probability that a certain kind of component will survive a given test is 23\frac{2}{3}. The probability that at most 2 components out of 4 tested, will survive is

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Functions. Asked once: 16 Apr 2026 S1 (same type asked 14 times) See all 14 of this type

    68
    sin⁡−1(1213)+cos⁡−1(45)+tan⁡−1(6316)=\sin^{-1}\left(\dfrac{12}{13}\right) + \cos^{-1}\left(\dfrac{4}{5}\right) + \tan^{-1}\left(\dfrac{63}{16}\right) =

    Tap an option to check your answer.

  4. Question 4

    Mathematical Logic. Asked once: 17 Apr 2026 S1 (same type asked 14 times) See all 14 of this type

    62
    If p→(q∨∼r)p \to (q \vee \sim r) is false, then the truth values of (p↔q)∧r(p \leftrightarrow q) \wedge r and ∼p→∼q\sim p \to \sim q are :

    Tap an option to check your answer.

  5. Question 5

    Differential Equations. Asked once: 11 Apr 2026 S1 (same type asked 14 times) See all 14 of this type

    87
    The order and degree of the differential equation 2+(d2ydx2)3=(d3ydx3)5/2\sqrt{2 + \left(\dfrac{d^2y}{dx^2}\right)^3} = \left(\dfrac{d^3y}{dx^3}\right)^{5/2} respectively are

    Tap an option to check your answer.