1
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

If $$\sin 2x = 4\cos x$$, then x is equal to

A
$${{n\pi } \over 2}\, \pm \,{\pi \over 4},n \in Z$$
B
no value
C
$$n\pi + {( - 1)^n}{\pi \over 4},n \in Z$$
D
$$2n\pi \, \pm \,{\pi \over 2},n \in Z$$
2
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

If $$f(x)$$ satisfies the relation $$2f(x) + f(1 - x) = {x^2}$$ for all real x, then $$f(x)$$ is

A
$${{{x^2} + 2x - 1} \over 6}$$
B
$${{{x^2} + 2x - 1} \over 3}$$
C
$${{{x^2} + 4x - 1} \over 3}$$
D
$${{{x^2} + 4x - 1} \over 6}$$
3
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

If A = {1, 2, 5, 6} and B = {1, 2, 3}, then (A $$\times$$ B) $$\cap$$ (B $$\times$$ A) is equal to

A
{(1, 1), (2, 1), (6, 1), (3, 2)}
B
{(1, 1), (1, 2), (2, 1), (2, 2)}
C
{(1, 1), (2, 2)}
D
{(1, 1), (1, 2), (2, 5), (2, 6)}
4
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

Total number of elements in the power set of A containing 15 elements is

A
215
B
152
C
215$$-$$1
D
215 $$-$$ 1
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