Question

Point P divides a line segment AB in the
ratio k: 1.
A lies at (6,9) and B lies at (-8,-5).
Also, P lies on the y-axis.
Find the value of k.
​

Answer 1

Answer:

k=3/4 and P=(0,3)

Explanation:

let coordinates of p =(0,y)

A= (6,9) and B=(-8,-5)

P divides AN in k:1

•°•0=(-8k+6)/(k+1)

-8k+6=0

-8k=-6

k=3/4

y=(-5×(3/4)+9)/(7/4)

y=(-15+36)/7

y=21/7

y=3

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