Browse Questions

# Find a point such that it divides the line joining the points A(1,1) & B(3,3) in 2 : 3 ratio?

$\begin{array}{1 1}(a)\;\large\frac{12}{5},\large\frac{12}{5}\\(b)\;\large\frac{11}{5},\large\frac{11}{5}\\(c)\;\large\frac{13}{5},\large\frac{12}{5}\\(d)\;\large\frac{14}{5},\large\frac{9}{5}\end{array}$

Let point be $C(x,y)$
$x=\large\frac{1\times 2+3\times 3}{5}$
$x=\large\frac{11}{5}$
$y=\large\frac{1\times 2+3\times 3}{5}$
$y=\large\frac{11}{5}$
Hence $C(\large\frac{11}{5},\frac{11}{5})$
Hence (b) is the correct option.