c) In what ratio does the line x – y – 2 = 0 divides the line segment joining the
points (3,-1) and (8, 9)? Also find the coo

2 thoughts on “c) In what ratio does the line x – y – 2 = 0 divides the line segment joining the<br />points (3,-1) and (8, 9)? Also find the coo”

1. Answer:

   2:3

   (5,3)

   Step-by-step explanation:

   first find equation of line joining the 2 points.

   m = ( 9+1)/(8-3) = 2

   equation is 2(x-3) = y+1

   => 2x – y = 7

   now find intersection of the 2 lines

   intersection will be-

   (5,3)

   now let ration be m:n

   according to section formula

   5 = (8m+3n)/(m+n)

   => 2n = 3m

   m:n = 2:3

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2. Answer:

   let be the ratio of line segment is = k: 1

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