Question

The line segment joining the points A(3,-4) and B(1,2) is trisected at the points P(p, -2) and Q(5/3,q). Find the values of p and q. 

Answer 1

Let P and Q be the points of trisection of AB. 

Then, P divides AB in the radio 1:2 

So, the coordinates of P are

Also, Q divides the line AB in the ratio 2:1 

So, the coordinates of Q are