Question

The centroid of a triangle formed by the lines $x=0,y=0$ and $x+y=6$ is ......... .

• A. $(2,0)$
• B. $(0,3)$
• C. $(3,3)$
• D. $(2,2)$

Answer 1

The correct option is D $(2,2)$

Solve the line $x=0,y=0$ and $x+y=6$ by taking two at a time

We get the vertices of the triangle as $(0,0),(6,0)$ and $(0,6)$

Hence the centroid of the triangle is $(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})=(\frac{6}{3},\frac{6}{3})=(2,2)$