1
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

The probability that bomb will miss the target is 0.2. Then, the probability that out of 10 bombs dropped exactly 2 will hit the target is

A
$$\frac{288}{5^9}$$
B
$$\frac{144}{5^{10}}$$
C
$$\frac{288}{5^{10}}$$
D
$$\frac{144}{5^9}$$
2
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

The polar co-ordinates of the point whose cartesian co-ordinates are $$(-2,-2)$$, are given by

A
$$\left(2 \sqrt{2}, \frac{\pi}{4}\right)$$
B
$$\left(2 \sqrt{2}, \frac{7 \pi}{6}\right)$$
C
$$\left(2 \sqrt{2}, \frac{3 \pi}{4}\right)$$
D
$$\left(2 \sqrt{2}, \frac{5 \pi}{4}\right)$$
3
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\int \sqrt{x-\frac{1}{x}}\left(\frac{x^2+1}{x^2}\right) d x=\frac{2}{3}\left(x-\frac{1}{x}\right)^k+c$$, then value of $$k$$ is

A
$$\frac{2}{3}$$
B
$$\frac{3}{2}$$
C
$$\frac{5}{2}$$
D
$$\frac{2}{5}$$
4
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_0^a \sqrt{\frac{x}{a-x}} d x=$$

A
$$\pi a$$
B
$$2 \pi a$$
C
$$\left(\frac{\pi}{4}\right) a$$
D
$$\left(\frac{\pi}{2}\right) a$$
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