Q. 343.7( 9 Votes )

In what ratio is the line segment joining the points (– 2, – 3) and (3, 7) divided by the y-axis? Also, find the coordinates of the point of division.

Answer :

Let the point on the y-axis which divides the line segment joining the points A(– 2, – 3) and B(3, 7) be C(0,y).


Let the ratio in which y-axis divides AB line segment be m:n.


Let (x,y) ≡ (0,y)


(x1,y1) ≡ (– 2, – 3)


and (x2,y2) ≡ (3,7)


Using Section Formula,




3m = 2n


m:n = 2:3


Now,




y = (5/5) = 1


Thus, the line segment joining the points (– 2, – 3) and (3, 7) divided by the y-axis in the ratio 2:3 internally and the coordinates of the point of division is (0,1).


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