The correct option is B (-1, -7)
Given:
Centroid, G(−4,−7)
Vertex, A(−14,−19) & B(3,5)
Let the Co-ordinates of C be (x3, y3)
x1=−14, x2=3, y1=−19 & y2=5
Centroid
G(−4,−7)=(x1+x2+x33,y1+y2+y33)
⇒−14+3+x33=−4
⇒x3−11=−12⇒x3=−1
and −19+5+y33=−7
⇒y3−14=−21⇒y3=−7
∴ Co-ordinates of C are (−1,−7)