Question

The co-ordinates of a point R which divides the line joining A ( -3,3) and B (2,-7) internally in the ratio 2:3 are

• A. (1,1)
• B. (-1,-1)
• C. (2,-2)
• D. (3,3)

Answer 1

The correct option is B (-1,-1)

Let the coordinates be $(x,y)$ then

$(x,y)=(\frac{m{x}_2+n{x}_1}{m+n},\frac{m{y}_2+n{y}_1}{m+n})$

$m=2,n=3,(x_1,y_1)=(-3,3),(x_2,y_2)=(2,-7)$

$(x,y)=[\frac{2\times 2+(-3)\times 3}{3+2},\frac{2\times (-7)+3\times 3}{3+2}]$

$(x,y)=[\frac{-5}{5},\frac{-5}{5}]$

$(x,y)=(-1,-1).$

This is the required answer.