Q16 of 184 Page 10

Find the ratio in which the y-axis divides the line segment joining points (5,-6) and (-1,-4). Also, find the point of intersection.

Let the line segment A(5, -6) and B(-1, -4) is divided at point P(0, y) by y-axis in ratio m:n



Here, (x, y) = (0, y); (x1, y1) = (5, -6) and (x2, y2) = (-1, -4)


So,


⇒ 0 = -m + 5n


⇒ m = 5n



Hence, the ratio is 5:1 and the division is internal.


Now,





Hence, the coordinates of the point of division is


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