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
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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