Mathematics - Point Question with Solution | TestHub

Let co-ordinates of$B=\left(x_1,y_1\right)$
$\therefore \frac{x_1+1}{2}= -1 \& \frac{y_1+2 }{2}=1$
$\Rightarrow x_1=-3, y_1=0$
$\therefore B=(-3, 0)$
Let co-ordinates of$C=\left(x_2,y_2\right)$
$\therefore \frac{x_2+1}{2}=2 \& \frac{y_2+2}{2}=3$
$\therefore C=\left(3, 4\right)$
Let centroid$G=\left(h,k\right)$
$h=\frac{1+x_1+x_2}{3}=\frac{1-3+3}{3}=\frac{1}{3}$
$k=\frac{2+y_1+y_2}{3}=\frac{2+0+4}{3}=2$
$\therefore \mathrm{ }\mathrm{ }$Centroid,$\mathrm{G}=\left(\frac{1}{3},2\right)$