MHT CET 2022 11th August Evening Shift | MHT CET Year Wise Previous Years Questions

If the lines $$3 x-4 y-7=0$$ and $$2 x-3 y-5=0$$ pass through diameters of a circle of area $$49 \pi$$ square units, then the equation of the circle is

$$x^2+y^2-2 x+2 y-47=0$$

$$x^2+y^2-2 x+2 y+51=0$$

$$x^2+y^2+2 x-2 y-51=0$$

$$x^2+y^2+2 x+2 y+47=0$$

MHT CET 2022 11th August Evening Shift

MCQ (Single Correct Answer)

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A spherical iron ball of $$10 \mathrm{~cm}$$ radius is coated with a layer of ice of uniform thickness that melts at the rate of $$50 \mathrm{~cm}^3 / \mathrm{min}$$. If the thickness of ice is $$5 \mathrm{~cm}$$, then the rate at which the thickness of ice decreases is

$$\frac{-1}{18 \pi} \mathrm{cm} / \mathrm{min}$$

$$\frac{2}{9 \pi} \mathrm{cm} / \mathrm{min}$$

$$\frac{1}{18 \pi} \mathrm{cm} / \mathrm{min}$$

$$\frac{1}{3 \pi} \mathrm{cm} / \mathrm{min}$$

MHT CET 2022 11th August Evening Shift

MCQ (Single Correct Answer)

-0

$$\int \frac{\sin \frac{5 x}{2}}{\sin \frac{x}{2}} d x=$$

(where $$C$$ is a constant of integration.)

$$x+\sin x+\sin 2 x+C$$

$$x+\sin x+\sin 2 x-C$$

$$x+2 \sin x+2 \sin 2 x+C$$