Q. The equation $2\cos^{2}{\frac{x}{2}\sin^{2}{x = x^{2} +^{- 2},\ x < \frac{\pi}{9}}}$ has
A) No real solution
B) One real solution
C) More than one real solutions
D) None of the above
Explanation
(a)
Since, $2\cos^{2}{\frac{x}{2}\sin^{2}{x < 2}}$
But $x^{2} + \frac{1}{x^{2}} \geq 2$
Thus, the equation has no solution
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.