1
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \sqrt{2+\sqrt{2+\sqrt{2+2 \cos 8 \theta}}} \text { where } \theta \in\left[-\frac{\pi}{8}, \frac{\pi}{8}\right] \text { is equal to } $$

A
$$\sin 2 \theta$$
B
$$2 \cos \theta$$
C
$$\cos 2 \theta$$
D
$$2 \sin \theta$$
2
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The turning point of the function $$y=\frac{a x-b}{(x-1)(x-4)}$$ at the point $$P(2,-1)$$ is

A
neither a maximum nor a minimum
B
both maximum and a minimum
C
a minimum
D
a maximum
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

A coin is tossed until a head appears or until the coin has been tossed three times. Given that 'head' does not appear on the first toss, what is the probability that the coin is tossed thrice?

A
$$\frac{1}{2}$$
B
$$\frac{3}{8}$$
C
$$\frac{1}{8}$$
D
$$\frac{1}{4}$$
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The value of } \int \frac{d x}{\sqrt{2 x-x^2}} \text { is } $$

A
$$\sin ^{-1}(x-1)+C$$
B
$$\sin ^{-1}(2 x-1)+C$$
C
$$\sin ^{-1}(x+1)+C$$
D
$$-\sqrt{2 x-x^2}+C$$
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