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Question

Find the ratio in which the line segment joining the points (3,5) and (−4,2) is divided by y-axis.

A
3:5
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B
5:4
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C
7:4
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D
3:4
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Solution

The correct option is D 3:4
Using the section formula, if a point (x,y) divides the line joining the
points (x1,y1) and (x2,y2) in the ratio m:n, then (x,y)=(mx2+nx1m+n,my2+ny1m+n)


Substituting (x1,y1)=(3,5) and (x2,y2)=(4,2) in the section formula, we get the point


(m(4)+n(3)m+n,m(2)+n(5)m+n)=(4m+3nm+n,2m+5nm+n)

As the point lies on y - axis, x -coordinate =0.

4m+3nm+n=0

4m=3n or m:n=3:4

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