MHT CET 2025 26th April Evening Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2025 26th April Evening Shift

MCQ (Single Correct Answer)

-0

Let z be the complex number such that $|z|+z=3+i$ where $i=\sqrt{-1}$, then $|z|=$

$\frac{\sqrt{34}}{3}$

$\frac{5}{3}$

$\frac{\sqrt{41}}{4}$

$\frac{5}{4}$

MHT CET 2025 26th April Evening Shift

MCQ (Single Correct Answer)

-0

The solution of the differential equation $(1+x) \frac{\mathrm{d} y}{\mathrm{~d} x}-x y=1-x$ is

$y(1+x)=x+\mathrm{ce}^x$, where c is the constant of integration

$\quad y(1+x)=\mathrm{ce}^x$, where c is the constant of integration

$y(1-x)=x-\mathrm{ce}^x$, where c is the constant of integration

$y(1+x)=x$, where c is the constant of integration

MHT CET 2025 26th April Evening Shift

MCQ (Single Correct Answer)

-0

$$ \int \frac{\mathrm{d} x}{\sin ^2 x \cos ^2 x}= $$

$\tan x+\cot x+\mathrm{c}$, where c is the constant of integration.

$\tan x-\cot x+\mathrm{c}$, where c is the constant of integration.

$\tan x \cot x+\mathrm{c}$, where c is the constant of integration.

$\tan x-\cot 2 x+\mathrm{c}$, , where c is the constant of integration.

MHT CET 2025 26th April Evening Shift

MCQ (Single Correct Answer)

-0

If the angles $\mathrm{A}, \mathrm{B}$ and C of a triangle are in A.P. and if $\mathrm{a}, \mathrm{b}$ and c denote the length of the sides opposite to $\mathrm{A}, \mathrm{B}$ and C respectively, then the value of $\frac{a}{b} \sin 2 B+\frac{b}{a} \sin 2 A$ is

$\sqrt{3}$

$\frac{\sqrt{3}}{2}$

$\frac{1}{\sqrt{3}}$

$\frac{1}{2}$

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