Answer :

A point P(x,y) divides the line formed by points (a,b) and (c,d) in the ratio of m:n, then the coordinates of the point P is given by

and

In the given question,

Let the point P divide AB is the ratio 1:k

Y coordinate of P

Simplifying

7k + 7 = 9k + 2

2k = 5

k =

and the ratio = 1:

=

Therefore point P divides AB in the ratio 2:5

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