If ‘n’ is an integer, the domain of the function 2x is - Vidyadip

MCQ

If $‘n’$ is an integer, the domain of the function $\sqrt {\sin 2x} $ is

A
$\left[ {n\pi - \frac{\pi }{2},\;n\pi } \right]$
✓
$\left[ {n\pi ,\;n\pi + \frac{\pi }{2}} \right]$
C
$[(2n - 1)\pi ,\;2n\pi ]$
D
$[2n\pi ,\;(2n + 1)\pi ]$

✓

Answer

Correct option: B.

$\left[ {n\pi ,\;n\pi + \frac{\pi }{2}} \right]$

b
(b) According to question, as $\sqrt {\sin 2x} $ can’t be negative.

So the option $(b)$ is correct

Domain of function $\sqrt {\sin 2x} $ is $[n\pi ,\,n\pi + \pi /2]$.

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