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

The odds in favour of drawing a king from a pack of 52 playing cards is

A
$$1: 4$$
B
$$4: 1$$
C
$$12: 1$$
D
$$1: 12$$
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_{\frac{\pi}{5}}^{\frac{3 \pi}{10}}\left[\frac{\tan x}{\tan x+\cot x}\right] d x=$$

A
$$\frac{3 \pi}{10}$$
B
$$\frac{\pi}{20}$$
C
$$\frac{\pi}{2}$$
D
$$\frac{\pi}{5}$$
3
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The angle between the lines $$\frac{x-1}{4}=\frac{y-3}{1}=\frac{z}{8}$$ and $$\frac{x-2}{2}=\frac{y+1}{2}=\frac{z-4}{1}$$ is

A
$$\cos ^{-1}\left(\frac{2}{3}\right)$$
B
$$\cos ^{-1}\left(\frac{1}{2}\right)$$
C
$$\cos ^{-1}\left(\frac{3}{4}\right)$$
D
$$\cos ^{-1}\left(\frac{1}{3}\right)$$
4
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

In a $$\triangle A B C$$ if $$2 \cos C=\sin B \cdot \operatorname{cosec} A$$, then

A
$$a=c$$
B
$$b=c$$
C
$$a=b=c$$
D
$$a=b$$
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