Question

If the orthocentre, circumcentre of a triangle are $(-3,5,2),(6,2,5)$ respectively then the centroid of the triangle is

• A. $(3,3,4)$
• B. $\left(\frac{3}{2},\frac{7}{2},\frac{9}{2}\right)$
• C. $(9,9,12)$
• D. $\left(\frac{9}{2}\frac{-3}{2},\frac{3}{2}\right)$

Answer 1

The correct option is A $(3,3,4)$

Since, the centroid divides the line joining the orthocentre and circumcentre in the ratio $2:1$

The coordinates of the centroid will be,

($\frac{9}{3},\frac{9}{3},\frac{12}{3}$)

$=(3,3,4)$