Question

The ratio in which the line $3x+2y=2$ divides the line joining the points $(-6,-2)$ and $(4,3)$ is

• A. $3:1$ internally
• B. $3:2$ internally
• C. $2:3$ externally
• D. $3:2$ externally

Answer 1

The correct option is B $3:2$ internally


$(x_1,y_1)\equiv (-6,-2),(x_2,y_2)\equiv (4,3)$
$L:3x+2y-2=0$

$\frac{AP}{PB}=-\frac{a{x}_1+b{y}_1+c}{a{x}_2+b{y}_2+c}=-\frac{3(-6)+2(-2)-2}{3\left(4\right)+2\left(3\right)-2}=\frac{24}{16}=\frac{3}{2}$