Question

The two vertices of a triangle are $(4,-2)$ and $(2,-6)$. If centroid of a triangle is $(0,1)$ then third vertex of triangle will be :

• A. $(-6,11)$
• B. $(11,-6)$
• C. $(6,-11)$
• D. $(6,11)$

Answer 1

Answer: (A)

$(-6,11)$

$x=\frac{x_1+x_2+x_3}{3};y=\frac{y_1+y_2+y_3}{3}$

$0=\frac{4+2+x_3}{3};1=\frac{-2-6+y_3}{3}$

$x_3=-6;y_3=11$

$(-6,11)$