MHT CET 2023 9th May Evening Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2023 9th May Evening Shift

MCQ (Single Correct Answer)

-0

General solution of the differential equation $$\log \left(\frac{d y}{d x}\right)=a x+b y$$ is

$$a e^{b y}+b e^{a x}=c_1$$, where $$c_1$$ is a constant.

$$a e^{-b y}+b^{-a x}=c_1$$, where $$c_1$$ is a constant.

$$a e^{-b y}+b e^{a x}=c_1$$, where $$c_1$$ is a constant.

$$a e^{b y}+b e^{-a x}=c_1$$, where $$c_1$$ is a constant.

MHT CET 2023 9th May Evening Shift

MCQ (Single Correct Answer)

-0

$$\int(\sqrt{\tan x}+\sqrt{\cot x}) d x=$$

$$\sqrt{2} \sin ^{-1}(\sin x-\cos x)+\mathrm{c}$$, where $$\mathrm{c}$$ is a constant of integration.

$$\frac{1}{\sqrt{2}} \sin ^{-1}(\sin x-\cos x)+\mathrm{c}$$, where $$\mathrm{c}$$ is a constant of integration.

$$\sin ^{-1}(\sin x-\cos x)+c$$, where c is a constant of integration.

$$2 \sin ^{-1}(\sin x-\cos x)+\mathrm{c}$$, where $$\mathrm{c}$$ is a constant of integration.

MHT CET 2023 9th May Evening Shift

MCQ (Single Correct Answer)

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If $$Z_1=2+i$$ and $$Z_2=3-4 i$$ and $$\frac{\overline{Z_1}}{\overline{Z_2}}=a+b i$$, then the value of $$-7 a+b$$ is (where $$i=\sqrt{-1}$$ and $$a, b \in R)$$

$$-$$1

$$\frac{-3}{25}$$

$$\frac{-9}{25}$$

MHT CET 2023 9th May Evening Shift

MCQ (Single Correct Answer)

-0

Let $$\alpha \in\left(0, \frac{\pi}{2}\right)$$ be fixed. If the integral $$\int \frac{\tan x+\tan \alpha}{\tan x-\tan \alpha} \mathrm{d} x=\mathrm{A}(x) \cos 2 \alpha+\mathrm{B}(x) \sin 2 \alpha+\mathrm{c},$$ (where $$\mathrm{c}$$ is a constant of integration), then functions $$\mathrm{A}(x)$$ and $$\mathrm{B}(x)$$ are respectively

$$x+\alpha$$ and $$\log |\sin (x+\alpha)|$$.

$$x-\alpha$$ and $$\log |\sin (x-\alpha)|$$.

$$x-\alpha$$ and $$\log |\cos (x-\alpha)|$$.

$$x+\alpha$$ and $$\log |\sin (x-\alpha)|$$.

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