(Q5) Find the centroid of the triangle formed by the line 2x + 3y -6 = 0 with the coordinate axes.

Given, △ AOB formed by the line 2x +3y - 6 = 0 with axes.

Let A lie on X-axis and B on Y-axis.

Y - coordinate of A = 0

X - coordinate of B = 0

A(3,0) , B(0,2)

2x+3y-6=0
x 0 3
y 2 0
(x,y) (0,2) (3,0)
ABXY(0,2)(3,0)(0,0)
Centroid = (
x1+x2+x3
3
 ,
y1+y2+y3
3
 )
    =(
++
3
 ,
++
3
 )
    =( ,
3
 )