Question

find the coordinates of point a, if a divides the line segment joining the points p(2,6) and q(-4,1) in the ratio of 1:2.​

Answer 1

We will be using the section formula for Internal Division.

a =

      $(\frac{1*(-4)+2*2}{1+2}, \frac{1*1+2*6}{1+2})\\\\(\frac{0}{3}, \frac{13}{3})\\\\(0, \frac{13}{3})$