Question

Find the coordinates of the point which divides the line segment joining the points
(a+b, a-b) and (a - b, a+b) in the ratio 3 : 2 internally.​

Answer 1

Given points,

(a+b, a-b) & (a-b, a+b)

In the ratio 3:2

=> 3(a+b)+2(a+b) /3+2,3(a+b)+2(a-b) / 3+2

=> 3a-3b+2a+2b/5, 3a+3b+2a-2b/5

=> 5a-b/5, 5a+b/5

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