question_answer

Consider the points \[A=(3,4)\] and\[B=\left( 7,\text{ }13 \right)\]. If  'P' is a point on the line \[y=x\] such that \[PA+PB\]is minimum, then coordinates of 'P' are

A)  \[\left( \frac{13}{7},\frac{13}{7} \right)\]            

B)  \[\left( \frac{23}{7},\frac{23}{7} \right)\]

C)  \[\left( \frac{31}{7},\frac{31}{7} \right)\]   

D)  \[\left( \frac{33}{7},\frac{33}{7} \right)\]