Question

Coordinates of trisection of line joining points (-3, -3) and (6, 6) is -

• A. (0,0),(3,-3)
• B. (0,0),(3,3)
• C. (1,1),(3,3)
• D. (1,1), (-3,3)

Answer 1

The correct option is B (0,0),(3,3)

$C$ divide $AB$ in ratio $1:2$

$\Rightarrow$ By Section formula $C=(\frac{6-6}{3},\frac{6-6}{3})$

$\Rightarrow C(0,0),D$ is mid-point of $CB$

$\Rightarrow D=(\frac{6}{2},\frac{6}{2})=(3,3)\Rightarrow \left(B\right)$