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Question

Find the ratio in which the y-axis divides the line segment joining the points (-4,-6) and (10,12). Also find the coordinates of the point of division.


Solution

Let the y-axis divide the line segment joining the points (-4, -6) and (10, 12) in the ratio λ:1 and the Point of the intersection be (0, y).
So, by section formula, we have :
(10λ+(4)λ+1,12λ+(6)λ+1)=(0,y)10λ4λ+1=010λ4=0λ=410=25
Therefore, y=12λ+(6)λ+1=12×25625+1=(24305)(2+55)=67
Thus, they - axis divides the line segment joining the given points in the ratio 2 : 5 and the point of division is (0,67).


NCERT Previous Years Papers

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