Question

The equation of perpendicular bisector of the line segment joining the points $(-1,-2)$ and $(2,0)$ is

• A. $5x+2y=1$
• B. $4x+6y=-1$
• C. $6x+4y=-1$
• D. none of these

Answer 1

The correct option is C $6x+4y=-1$

Mid point of points $(-1,-2)$ and $(2,0)$ is
$(\frac{-1+2}{2},\frac{-2+0}{2})=(\frac{1}{2},-1)$
Slope of line joining points $(-1,-2)$ and $(2,0)$ is
$\frac{0+2}{2+1}=\frac{2}{3}$
Hence slope of perpendicular line is $-\frac{3}{2}$
Therefore equation of line passing through $(\frac{1}{2},-1)$ and slope $-\frac{3}{2}$ is
$6x+4y=-1$