Question

A point 'p' divides the line joining of points A(x1,y1) and B(x2,y2) in the ratio M1:M2 internally then write the co-ordinates of P​

Answer 1

Given:

The ratio in which the point "p" divides the line joining of points A(x1,y1) and B(x2,y2) = M1:M2

To find:

The co-ordinates of p.

Solution:

Since the point "p" divides the line joining the points A(x1,y1) and B(x2,y2), it's co-ordinates will be as follows:

It's x co-ordinate will be:

x = (M1x2 + M2x1) / (M1 + M2)

It's y co-ordinate will be:

y = (M1y2 + M2y1) / (M1 + M2)

Thus the co-ordinates of "p" will be:

Thus the co-ordinates of "p" will be:p(x,y) = [(M1x2 + M2x1) / (M1 + M2), (M1y2 + M2y1) / (M1 + M2)]