The equation \[2{{\cos }^{2}}\left( \frac{x}{2} \right).{{\sin }^{2}}x={{x}^{2}}+\frac{1}{{{x}^{2}}},\]\[0\le x\le \frac{\pi }{2}\] has

The equation \[2{{\cos }^{2}}\left( \frac{x}{2} \right).{{\sin }^{2}}x

1.	The equation \[2{{\cos }^{2}}\left( \frac{x}{2} \right).{{\sin }^{2}}x={{x}^{2}}+\frac{1}{{{x}^{2}}},\]\[0\le x\le \frac{\pi }{2}\] has
A.	one real solution
B.	no solution
C.	more than one real solution
D.	None of these
Answer» C. more than one real solution

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The equation \[2{{\cos }^{2}}\left( \frac{x}{2} \right).{{\sin }^{2}}x={{x}^{2}}+\frac{1}{{{x}^{2}}},\]\[0\le x\le \frac{\pi }{2}\] has

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