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Day 190: MHT-CET Maths

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

  1. Question 1

    Differential Equations. Asked once: 19 Apr 2026 S2 (same type asked 6 times) See all 6 of this type

    86
    The solution of the differential equation dydx=cos⁡(x+y)\dfrac{dy}{dx} = \cos(x + y) is...

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  2. Question 2

    Differentiation. Asked once: 11 Apr 2026 S1 (same type asked 6 times) See all 6 of this type

    71
    If y=tan⁡x+tan⁡x+tan⁡x+⋯⋯∞y = \sqrt{\tan x + \sqrt{\tan x + \sqrt{\tan x + \cdots\cdots\infty}}}, then (dydx)2\left(\dfrac{dy}{dx}\right)^2 at x=π4x = \dfrac{\pi}{4} is

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  3. Question 3

    Indefinite Integration. Asked once: 14 May 2026 S2 (same type asked 6 times) See all 6 of this type

    80
    Evaluate ∫ex(sin⁡x+2cos⁡x)sin⁡x dx\displaystyle\int e^x(\sin x + 2\cos x)\sin x\,dx

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  4. Question 4

    Indefinite Integration. Asked once: 15 Apr 2026 S1 (same type asked 6 times) See all 6 of this type

    78
    ∫x−2x dx=\displaystyle\int\dfrac{\sqrt{x - 2}}{x}\,dx =

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  5. Question 5

    Line and Plane. Asked once: 20 Apr 2026 S1 (same type asked 6 times) See all 6 of this type

    93
    The acute angle between the line r⃗=(i^+2j^+k^)+λ(i^+j^+k^)\vec{r} = (\hat{i} + 2\hat{j} + \hat{k}) + \lambda(\hat{i} + \hat{j} + \hat{k}) and the plane r⃗⋅(2i^+pj^+k^)=8\vec{r}\cdot(2\hat{i} + p\hat{j} + \hat{k}) = 8 is sin⁡−1(23)\sin^{-1}\left(\dfrac{\sqrt{2}}{3}\right), then the value of pp are...

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