Coordinate Geometry

We are given the midpoint of the segment joining and is .\\ Midpoint formula: Here, Apply the formula:

The correct option is (B):

Let the Y-axis divide the line segment joining P(-4, 2) and Q(8, 3) in the ratio k:1.

The coordinates of the point dividing the line segment are given by the section formula:

Here, m = k, n = 1, , and .

Since the Y-axis divides the line segment, the x-coordinate of the point of division is 0.

So the ratio is 1:2.