1
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

$$\int \frac{3^x}{\sqrt{1-9^x}} d x$$ is equal to

A
$$(\log 3) \sin ^{-1} 3^x+C$$
B
$$\frac{1}{3} \sin ^{-1}\left(3^x\right)+C$$
C
$$\frac{1}{\log 3} \sin ^{-1} 3^x+C$$
D
$$3 \log 3 \sin ^{-1} 3^x+C$$
2
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

$$\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {\cos x\,dx} $$

A
2
B
0
C
$$-$$1
D
5
3
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

The angle between the lines $${{x + 4} \over 3} = {{y - 1} \over 5} = {{z + 3} \over 4}$$ and $${{x + 1} \over 1} = {{y - 4} \over 1} = {{z - 5} \over 2}$$ is

A
30$$^\circ$$
B
$${\cos ^{ - 1}}\left( {{3 \over {2\sqrt 2 }}} \right)$$
C
$${\cos ^{ - 1}}\left( {{8 \over {5\sqrt 3 }}} \right)$$
D
None of these
4
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

The point of intersection of the lines $${{x - 1} \over 1} = {{y - 1} \over 2} = {{z - 2} \over 3}$$ and $${{x -5} \over 2} = {{y - 2} \over 1} = z$$ is

A
$$(1,-2,0)$$
B
$$(3,1,0)$$
C
$$(-2,-5,-7)$$
D
None of these
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