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.
(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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