The number of real solutions of \[{{\tan }^{-1}}\sqrt{x(x+1)}+{{\sin }^{-1}}\sqrt{{{x}^{2}}+x+1}=\frac{\pi }{2}\]is [IIT 1999]

The number of real solutions of \[{{\tan }^{-1}}\sqrt{x(x+1)}+{{\sin }

1.	The number of real solutions of \[{{\tan }^{-1}}\sqrt{x(x+1)}+{{\sin }^{-1}}\sqrt{{{x}^{2}}+x+1}=\frac{\pi }{2}\]is [IIT 1999]
A.	Zero
B.	One
C.	Two
D.	Infinite
Answer» D. Infinite

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The number of real solutions of \[{{\tan }^{-1}}\sqrt{x(x+1)}+{{\sin }^{-1}}\sqrt{{{x}^{2}}+x+1}=\frac{\pi }{2}\]is [IIT 1999]

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