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Question

In what ratio does the point P(2,−56) divide the line segment joining the points A(-3,5) and B(3,-2)?

A
1:5
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B
5:1
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C
2:3
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D
3:5
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Solution

The correct option is B 5:1
Let the required ratio be m1,m2
Let (x1,y1)=(3,5)
(x2,y2)=(3,2)
and (x,y)=(2,56)

By Section Formula,

x=m1x2+m2x1m1+m2
2=m1×3+m2×3m1+m2
2m1+2m2=3m13m2
2m13m1=3m22m2
m1=5m2
m1m2=51
Required Ratio=5:1

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