1. Tardigrade
  2. Question
  3. Mathematics
  4. If the orthocentre and the centroid of a triangle are at (5,2,-6) and (9,6,-4) respectively, then its circumcentre is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If the orthocentre and the centroid of a triangle are at $(5,2,-6)$ and $(9,6,-4)$ respectively, then its circumcentre is

TS EAMCET 2019

Solution:

We know that,
centroid of triangle is divide the orthocentre to circumcentre is ratio $2: 1$
image
$\therefore 9=\frac{2 x+3}{3} \Rightarrow x=11$
$6=\frac{2 y+2}{3} \Rightarrow y=8$
$-4=\frac{2 z-6}{3} \Rightarrow z=-3$
$\therefore $ Circumcentre of triangle is $(11,8,-3)$