Let $p, q$ and $r$ be the sides opposite to the angles $P, Q$ and $R$ respectively in a $\Delta PQR$. Then, $2pr \sin \left(\frac{P-Q+R}{2}\right)$ equals

  • A
    $p^{2}+q^{2}+r^{2}$
  • B
    $p^{2}+r^{2}-q^{2}$
  • C
    $q^{2}+r^{2}-p^{2}$
  • D
    $p^{2}+q^{2}-r^{2}$

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