Question

If the coordinates of points a and b are (-2 -2) and (2 -4) . Find the coordinates of p such that 3ap=7ab, where p lies on the line segment

Answer 1

Given 5ap=5pb

This gives that the ratio is 5:2

let P(x,y)

Now, by using ratio formula

X={5(6)+2(3)}/5+2

X= {30+6}\7

X=36/

Again y={5(-2)+2(4)}\5+2

Y= (-10+8)/7

Y=. (-2/7)

Now the coordinates of point p(x,y) =(36/7,-2/7

Hence solved

Thanku for this question