Question

Point $p$ divides the line segment joining the points $A(-1,3)$ and $B(9,8)$ such that $\frac{AP}{BP}=\frac{K}{1}.$ If $P$ lies on the line $3x-y+2=0,$ find the value of $k.$

Answer 1

$px,ykx2-x1/k+1ky2+y1/k+1$

now $x-y-z=o$

$9k-1-8k-3=-2k$

$k-4=-2k-2$

$2k+k=4-2$

$3k=2$

k$=2/3$ ratio$=2:3$