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 ] $

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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] $ .