question_answer

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

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

B)  \[\left( -\,2,0 \right)\]

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

D)  \[\left( 5,-\,3 \right)\]

E)  None of these