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Answer:
8-9and 2-1 are also available
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5
Step-by-step explanation:
let line divides 2x+3y-5-0 to the segment
joining (8,-9) and (2,1) in k:1
let point of intersect be (a,b)
by intersection formula
(a,b)=(2k+8/k+1 , k-9/k+1)
a-2k+8/k+1 and b=k-9/k+1
these point will also lie on line
2x+3y-5=O.hence point will satisfy this
equation
2x2k+8/k+1+3xk-9/k+1-5 =0
4k+16+3k-27-5k-5-0
2k-16-0
k=8
ratio will be 8:1
coordinate will be x=2k+8/k+1-24/9 and
y=k-9/k+1=1/9
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