Functions Question 397
Question: If ?n? is an integer, the domain of the function $ \sqrt{\sin 2x} $ is
[MP PET 2003]
Options:
A) $ [ n\pi -\frac{\pi }{2},\ n\pi ] $
B) $ [ n\pi ,\ n\pi +\frac{\pi }{2} ] $
C) $ [(2n-1)\pi ,\ 2n\pi ] $
D) $ [2n\pi ,\ (2n+1)\pi ] $
Show Answer
Answer:
Correct Answer: B
Solution:
According to question, as $ \sqrt{\sin 2x} $ can?t be negative. So the option is correct Domain of function $ \sqrt{\sin 2x} $ is $ [n\pi ,,n\pi +\pi /2] $ .