Question

find the coordinates of the point which divides line joining (-4,0) and ( 0,6) in the ratio 1:3 ?​

Answer 1

A(−4,0) & B(0,6) are the end points of the line segment AB.

To find out-

The coordinates of the points which divide AB into 4 equal segments.

Solution

If the line AB is divided into 4 segments then there will be 3 points p,q & r such that Ap=pq=qr=Bq.

Then, q is the mid point of AB.

p is the mid point of Aq, and r is the mid point of Bq.

We shall apply mid point formula