Q. 44.4( 20 Votes )

Find the ratio in which the line segment joining the points A(3,8) and B(-9, 3)is divided by the Y-axis.

Answer :

A point P(x,y) divides the line formed by points (a,b) and (c,d) in the ratio of m:n, then the coordinates of the point P is given by


and


On y axis x coordinate = 0


Let the y-axis divide AB is ratio 1:k.

the points A(3,8) and B(-9, 3)is divided by the Y-axis.

For x coordinate



Solving for k we get


3k - 9 = 0

3 k = 9


k = 3


Hence the y axis divides the given point in the ratio 3:1

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