Question

Find the co-ordinate of the points of trisection of the line -segment joining A(0,0),B(3,2)

• A. $(2,\frac{2}{3})$
• B. $(1,-\frac{2}{3})$
• C. $(-1,\frac{2}{3})$
• D. $(1,\frac{2}{3})$

Answer 1

The correct option is D $(1,\frac{2}{3})$

Points of trisection are the points which divide line segment in ratio

$1:2$

$x=\frac{3}{3}$ $x=\frac{3\times 1+2\times 0}{3}$

$y=\frac{2}{3}$ $y=\frac{0\times 2+2\times 1}{3}$

$x=1$ $y=\frac{2}{3}$

$(1,\frac{2}{3})$ is point of trisection