question_answer

Which one among the following statements is not true?

A)  In a triangle PQR, if S is a point on QR such that S divides QR in the ratio PQ : PR, then PS is the bisector of \[\angle \]P.

B)  In a triangle PQR, if PS is the bisector of the exterior of angle P and meets QR produced in S, then \[\frac{QS}{RS}=\frac{PQ}{PR}\]

C)  If a line through one vertex of a triangle divides the opposite sides in the ratio of other two sides, then the line bisects the angle at the vertex.

D) In a \[\Delta \]PQR, in which S is a point on QR such that \[\frac{QS}{QR}=\frac{PQ}{PR}\], then PS is bisector of \[\angle \]P.

E) None of these