Q16 of 49 Page 1

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.


Let the point on the y-axis which divides the line segment joining the points A(-4, -6) and B(10, 12) 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) ≡ (-4,-6)


and (x2,y2) ≡ (10,12)


Using Section Formula,




⇒ 10m = 4n


∴ m:n = 4:10 = 2:5


Now,





⇒ y = (-6/7)


Thus, the line segment joining the points (-4, -6) and (10, 12) divided by the y-axis in the ratio 2:5 internally and the coordinates of the point of division is (0, -6/7).


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