Q. If $\sin^{2}{\theta = \frac{x^{2} + y^{2} + 1}{2x}}$, then $x$ must be

A) $- 3$
B) $- 2$
C) 1
D) None o f these
Explanation

(d)
Since, $\sin^{2}{\theta \leq 1}$
$\Rightarrow \ \ \frac{x^{2} + y^{2} + 1}{2x} \leq 0$
$\Rightarrow \ \ (x - 1)^{2} + y^{2} \leq 0$
Which is possible only when $x = 1,\ y = 0$
Hence, it also depends on value of $y$.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.