question_answer

In a triangle ABC, P is a point on BC and from point P lines parallel to AB and AC are drawn which intersects AB and AC at R and Q respectively If RQ meets BC produced in S. Then \[\mathbf{S}{{\mathbf{P}}^{\mathbf{2}}}\] equals to _______

A)  3SB \[\times \] SC     

B)                                             SB \[\times \] SC     

C)  2SR \[\times \] RQ    

D)                                            2SB \[\times \] SC

E) None of these