Question

in what ratio does the line x-y-2=0 divide the line segment joining the points (3,-1)and (8,9)Also find co-ordinates of point of intersection.

Answer 1

let the line x-y-2=0 divide it in ratio k:1
therefore,by using section formula...(8k+3)/k+1 = x
and, (9k-1)/k+1= y
putting it in given eq.
we get
(8k+3)/k+1-(9k-1)/k+1-2 = 0
= 8k+3-9k+1-2k-2=0
= -3k+2=0
k= 2/3
then ,ratio will be 2/3/1
therefore the req ratio is 2:3

Answer 2

Answer:

2:3

Step-by-step explanation:

For explanation see the attachment....

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