Question

Calculate the ratio in which the line joining A (6, 5) and B(4, - 3) is divided by the line y = 2.

Answer 1

R.E.F image

Coordinate on line $y=2$ is $(x,2)$

$(4,-3)$ & Let $(x,2)$

divide AB in $m:1$ ratio

$\Rightarrow \frac{(5\times 1)+(-3\times m)}{m+1}=2$

$\Rightarrow 5-3m=2m+2\Rightarrow m=\frac{3}{5}$

$\Rightarrow 3:5Ratio$