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

  1. $\frac{(q+r)}{qr}$
  2. $\frac{qr}{(q+r)}$
  3. $\sqrt{(q^{2}+r^{2})}$
  4. $\frac{(q+r)^{2}}{qr}$
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