GATE2015-2-GA-7

Question

In a triangle $PQR$, $PS$ is the angle bisector of $\angle QPR$ and $\angle QPS$ = $60$°. What is the length of $PS$ ?

• A. $\frac{(q+r)}{qr}$
• B. $\frac{qr}{(q+r)}$
• C. $\sqrt{(q^{2}+r^{2})}$
• D. $\frac{(q+r)^{2}}{qr}$