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)

-0

Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then the probability distribution of number of jacks is

$$\mathrm{X}=x$$	0	1	2
$$\mathrm{P(X}=x)$$	$$\frac{144}{169}$$	$$\frac{24}{169}$$	$$\frac{1}{169}$$

$$\mathrm{X}=x$$	0	1	2
$$\mathrm{P(X}=x)$$	$$\frac{1}{169}$$	$$\frac{144}{169}$$	$$\frac{24}{169}$$

$$\mathrm{X}=x$$	0	1	2
$$\mathrm{P(X}=x)$$	$$\frac{24}{169}$$	$$\frac{1}{169}$$	$$\frac{144}{169}$$

$$\mathrm{X}=x$$	0	1	2
$$\mathrm{P(X}=x)$$	$$\frac{144}{169}$$	$$\frac{1}{169}$$	$$\frac{24}{169}$$

MHT CET 2023 12th May Morning Shift

MCQ (Single Correct Answer)

-0

If $$\tan \theta=\frac{\sin \alpha-\cos \alpha}{\sin \alpha+\cos \alpha}, 0 \leq \alpha \leq \frac{\pi}{2}$$, then the value of $$\cos 2 \theta$$ is

$$\cos 2 \alpha$$

$$\sin \alpha$$

$$\cos \alpha$$

$$\sin 2 \alpha$$

MHT CET 2023 12th May Morning Shift

MCQ (Single Correct Answer)

-0

The solution set of $$8 \cos ^2 \theta+14 \cos \theta+5=0$$, in the interval $$[0,2 \pi]$$, is

$$\left\{\frac{\pi}{3}, \frac{2 \pi}{3}\right\}$$

$$\left\{\frac{\pi}{3}, \frac{4 \pi}{3}\right\}$$

$$\left\{\frac{2 \pi}{3}, \frac{4 \pi}{3}\right\}$$

$$\left\{\frac{2 \pi}{3}, \frac{5 \pi}{3}\right\}$$

MHT CET 2023 12th May Morning Shift

MCQ (Single Correct Answer)

-0

A ladder 5 meters long rests against a vertical wall. If its top slides downwards at the rate of $$10 \mathrm{~cm} / \mathrm{s}$$, then the angle between the ladder and the floor is decreasing at the rate of ________ rad./s when it's lower end is $$4 \mathrm{~m}$$ away from the wall.

$$-0.1$$

$$-0.025$$

0.1

0.025

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