Question

Let the coordinates of the two vertices of a triangle are $(4,-5),$ $(-6,5)$ respectively. If the coordinates of the centroid are $(3,-1),$ then coordinates of the third vertex are

• A. $(11,-3)$
• B. $(10,-3)$
• C. $(11,3)$
• D. $(-11,-3)$

Answer 1

The correct option is A $(11,-3)$

Let the coordinates of the third vertex be $(a,b)$
We know that,
$\frac{a+4-6}{3}=3,\frac{b-5+5}{3}=-1$
$\Rightarrow a=11,b=-3$

Hence, the third vertex of the triangle is $(11,-3)$