PYQ Vault
EbooksTutor

Day 289: MHT-CET Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 15 May 2023 S2 (same type asked 6 times) See all 6 of this type

    109
    There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose the questions, is

    Tap an option to check your answer.

  2. Question 2

    Differential Equations. Asked once: 20 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    86
    If tan⁡x\tan x is an integrating factor of the differential equation dydx+Py=Q\dfrac{dy}{dx} + Py = Q, then PP can be

    Tap an option to check your answer.

  3. Question 3

    Differential Equations. Asked once: 20 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    85
    If y=f(x)y = f(x) is a monotonically increasing function such that (dydx)2=6−dydx\left(\dfrac{dy}{dx}\right)^2 = 6 - \dfrac{dy}{dx} and y(0)=5y(0) = 5, then y(3)=⋯y(3) = \cdots

    Tap an option to check your answer.

  4. Question 4

    Trigonometric Functions. Asked once: 18 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    70
    If 0≤x≤10 \le x \le 1 and (sin⁡−1x)3+(cos⁡−1x)3=aπ3(\sin^{-1}x)^3 + (\cos^{-1}x)^3 = a\pi^3 then

    Tap an option to check your answer.

  5. Question 5

    Vectors. Asked once: 15 May 2026 S2 (same type asked 5 times) See all 5 of this type

    92
    The position vectors of vertices AA, BB and CC of triangle ABCABC are i^−j^−3k^\hat{i} - \hat{j} - 3\hat{k}, 2i^+j^−2k^2\hat{i} + \hat{j} - 2\hat{k}, and −5i^+2j^−6k^-5\hat{i} + 2\hat{j} - 6\hat{k} respectively. The length of the bisector ADAD of angle BACBAC, where DD is on the line segment BCBC, is

    Tap an option to check your answer.