MHT CET 2025 22nd April Morning Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2025 22nd April Morning Shift

MCQ (Single Correct Answer)

-0

For a real number $x,[x]$ denotes the greatest integer less than or equal to $x$. Then the value of

$$ \begin{array}{r} {\left[\frac{1}{2}\right]+\left[\frac{1}{2}+\frac{1}{100}\right]+\left[\frac{1}{2}+\frac{2}{100}\right]+\left[\frac{1}{2}+\frac{3}{100}\right]+} \left[\frac{1}{2}+\frac{99}{100}\right]= \end{array} $$

100

MHT CET 2025 22nd April Morning Shift

MCQ (Single Correct Answer)

-0

The angle between the lines $3 x=2 y=-\mathrm{z}$ and $-x=6 y=-4 z$ is

$\frac{\pi}{3}$

$\frac{\pi}{4}$

$\frac{\pi}{2}$

$\frac{\pi}{6}$

MHT CET 2025 22nd April Morning Shift

MCQ (Single Correct Answer)

-0

If $y+\frac{\mathrm{d}}{\mathrm{d} x}(x y)=x(\sin x+\log x)$ then

$y=\cos x+\frac{2 \sin x}{x}+\frac{2}{x^2} \cos x+\frac{x}{3} \log x-\frac{x}{9}+\frac{\mathrm{c}}{x^2}$, where c is the constant of integration.

$y=-\cos x-\frac{2}{x} \sin x+\frac{2}{x^2} \cos x+\frac{x}{3} \log x-\frac{x}{9}+\frac{\mathrm{c}}{x^2}$ where c is the constant of integration.

$$ \begin{aligned} y=-\cos x+\frac{2}{x} \sin x+ & \frac{2}{x^2} \cos x +\frac{x}{3} \log x-\frac{x}{9}+\frac{c}{x^2}\text { where } \mathrm{c} \text { is the constant of integration. }\end{aligned} $$

$y=\cos x-\frac{2}{x} \sin x+\frac{2}{x^3} \cos x+\frac{x}{3} \log x-\frac{x}{9}+\frac{\mathrm{c}}{x^2}$ where $c$ is the constant of intergration.

MHT CET 2025 22nd April Morning Shift

MCQ (Single Correct Answer)

-0

If the pair of straight lines $x y-x+y-1=0$ and the line $x+\mathrm{k} y-3=0$ are concurrent, then the value of $k$ is equal to

-1

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