Soln:
Note: If internal division or external division is not mentioned in question, by default, the problem should be solved by using Section Formula for internal division.
We have,
(x1,y1) = (1,-2)
(x2,y2) = (3,2)
m:n = 1:3
When we put these information in the formula, we get the required point .
Require point = [(mx2+nx1)/(m+n), (my2+ny1)/(m+n)]
Required point = [(1X3 +3x1)/(1+3), (1X2+3x-2)/(1+3)]
= [(3+3)/4, (2-6)/4]
= (3/2, -1)
Hence the required point is (3/2, -1) Ans.
