PYQ Vault

Day 376: MHT-CET Maths

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

  1. Question 1

    Differential Equations. Asked once: 9 May 2023 S2 (same type asked 5 times) See all 5 of this type

    149
    Integrating factor of the differential equation dydx+y=1+yx\frac{dy}{dx} + y = 1 + \frac{y}{x} is

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  2. Question 2

    Differential Equations. Asked once: 9 May 2024 S2 (same type asked 5 times) See all 5 of this type

    130
    General solution of the differential equation log⁡ ⁣(dydx)=ax+by\log\!\left(\frac{dy}{dx}\right) = ax + by is

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  3. Question 3

    Trigonometric Functions. Asked once: 11 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    65
    The minimum value of (sin⁡−1x)2+(cos⁡−1x)2(\sin^{-1}x)^2 + (\cos^{-1}x)^2 is...........

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  4. Question 4

    Vectors. Asked once: 11 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    89
    If 7j^+10k^,−i^+6j^+6k^7\hat{j} + 10\hat{k}, -\hat{i} + 6\hat{j} + 6\hat{k} and −4i^+9j^+6k^-4\hat{i} + 9\hat{j} + 6\hat{k} are the position vectors of the vertices A, B and C repectively of △ABC\triangle ABC. Then the position vector of the point where the bisector of the angle A meets side BC is

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  5. Question 5

    Line and Plane. Asked once: 17 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    93
    The angle between the line x−1=2−y=2z−64x - 1 = 2 - y = \dfrac{2z - 6}{4} and the plane r⃗⋅(2i^+j^+k^)=10\vec{r}\cdot(2\hat{i} + \hat{j} + \hat{k}) = 10 is

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