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ICSE Class 10 Answered

Find the ratio in which the line 2x+y=4 divides the line segment joining the points P(2,-2) and Q(3,7).
Asked by priti.gupta24 | 09 Feb, 2018, 08:16: PM
answered-by-expert Expert Answer

let the ratio be k:1

x = kx1 + 1.x2/ k +1      y = ky1 + 1.y2/ k + 1

x = 3k + 2/k +1             y = 7k - 2 / k + 1

 

the point lies on 2x + y = 4

2( 3k +2/k +1) + (7k - 2 / k + 1) = 4

6k +4+7k-2/k+1 = 4

13 k +2 = 4k +4

9k = 4-2

9k =2

k =2/9

ratio = 2:9

 

Answered by Arun | 11 Feb, 2018, 08:46: AM

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