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Question

Find the ratio in which the line segment joining A(1, -5) B(-4, 5) is divided by the x-axis


A

1:2

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B

1:1

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C

2:1

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D

1:4

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Solution

The correct option is B

1:1


After plotting the points, we can see that x-axis cuts the line joining the points A and B internally.

Let x-axis cut the line at p in the ratio k: 1.

Point p {k(4)+1.(1)k+1,k(5)+1(5)k+1}

p(4k+1k+1,5k5k+1)

This coordinate lies on the x-axis

y=0

5k5k+1=0

k = 1

So, x-axis cuts the line in the ratio

1:1


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