Functions Question 653
Question: The interval for which $ {{\sin }^{-1}}\sqrt{x}+{{\cos }^{-1}}\sqrt{x}=\frac{\pi }{2} $ holds
[IIT Screening]
Options:
A) $ [0,\ \infty ) $
B) $ [0,\ 3] $
C) [0, 1]
D) [0, 2]
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Answer:
Correct Answer: C
Solution:
$ {{\sin }^{-1}}\sqrt{x}+{{\cos }^{-1}}\sqrt{x}=\frac{\pi }{2} $ holds x lying in [0,1].
BETA
