MHT CET 2023 12th May Morning Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2023 12th May Morning Shift

MCQ (Single Correct Answer)

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The value of $$\sin \left(\cot ^{-1} x\right)$$ is

$$\frac{1}{\sqrt{1+x^2}}$$

$$\sqrt{1+x^2}$$

$$\frac{1}{x \sqrt{1+x^2}}$$

$$x \sqrt{1+x^2}$$

MHT CET 2023 12th May Morning Shift

MCQ (Single Correct Answer)

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If $$\int \cos ^{\frac{3}{5}} x \cdot \sin ^3 x d x=\frac{-1}{m} \cos ^m x+\frac{1}{n} \cos ^n x+c$$, (where $$\mathrm{c}$$ is the constant of integration), then $$(\mathrm{m}, \mathrm{n})=$$

$$\left(\frac{18}{5}, \frac{8}{5}\right)$$

$$\left(\frac{-8}{5}, \frac{18}{5}\right)$$

$$\left(\frac{8}{5}, \frac{18}{5}\right)$$

$$\left(\frac{-18}{5}, \frac{-8}{5}\right)$$

MHT CET 2023 12th May Morning Shift

MCQ (Single Correct Answer)

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Let $$\mathrm{PQR}$$ be a right angled isosceles triangle, right angled at $$\mathrm{P}(2,1)$$. If the equation of the line $$\mathrm{QR}$$ is $$2 x+y=3$$, then the equation representing the pair of lines $$P Q$$ and $$P R$$ is

$$3 x^2-3 y^2+8 x y+20 x+10 y+25=0$$

$$3 x^2-3 y^2+8 x y-20 x-10 y+25=0$$

$$3 x^2-3 y^2+8 x y+10 x+15 y+20=0$$

$$3 x^2-3 y^2-8 x y-10 x-15 y-20=0$$

MHT CET 2023 12th May Morning Shift

MCQ (Single Correct Answer)

-0

A uniform string is vibrating with a fundamental frequency '$$n$$'. If radius and length of string both are doubled keeping tension constant then the new frequency of vibration is

$$2 \mathrm{n}$$

$$3 \mathrm{n}$$

$$\frac{\mathrm{n}}{4}$$

$$\frac{\mathrm{n}}{3}$$

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