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Question

Calculate the ratio in which the line joining points A(-1,2) and B(5,7) is divided by the line x=2.


A

4 : 5

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B

3 :2

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C

1 : 1

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D

9 : 4

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Solution

The correct option is C

1 : 1


Let the point (2,y) divide the line joining the points A(-1,2)and B(5,7) in the ratio m1:m2

x=m1x2+m2x1m1+m2

A(1,2)x1=1 y1=2B(5,7)x2=5 y2=7

2=m1x2+m2x1m1+m2

2=m1(5)+m2(1)m1+m2

2m1+2m2=5m1m2

3m2=3m1m1m2=11


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