Question

IN WHAT RATIO DOES THE point (2,5) divide the line segment joining (3,-1) and (8,9) ?

Answer 1

Let the ratio be k:1
then using section formula
x=(x2×k+x1)/k+1
2=(8k+3)/k+1
2(k+1)=8k+3
2-3=8k-2k
-1=6k
k=1/6(externally)