question_answer

Find the coordinates of the vertex A of \[\Delta \,ABC,\] If \[D\left( 3,-\,2 \right),\] \[E\left( -\,3,\,\,1 \right)\] and \[F\left( 4,-3 \right)\] are the midpoints of BC, AC and AB respectively.

A)  \[\left( 10,-\,6 \right)\]                 

B)  \[\left( -\,2,\text{ }0 \right)\]

C)  \[\left( -\,4,\text{ }2 \right)\]                    

D)  \[\left( 5,-\,3 \right)\]

E)  None of these