question_answer

In a triangle PQR (as shown below), \[\angle \]PQR = \[\mathbf{90}{}^\circ \] and QS is its bisector. If SM\[\bot \]QR then SM\[\times \](PQ + QR) is equal to _________

A)  PS \[\times \] SR                       

B)                     PQ \[\times \] QR     

C)  2PS \[\times \] SR   

D)                                                        2PQ \[\times \] QR

E) None of these