Find the ratio of line segment, Mathematics

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Find the ratio in which the line segment joining A(6,5) and B(4,-3) is divided by the line y=2           (Ans:3:5)

Ans :  Let the ratio be k:1

x = 4k + 6/k +1

y = - 3k + 5/k +1

- 3k + 5/k + 1 = 2

On solving we get  k = 3 : 5

 


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