Question

Find the point of intersection of y axis and the perpendicular bisector of (2, - 3) and( - 4, 1)

Answer 1

Answer:

Midpoint of given line=(2-4)/2,(-3+1)/2

                                   =(-1,-1)

Slope of line=-3-1/2+4=-2/3

Slope of perpendicular bisector=-1/-2/3=3/2

Let equation of perpendicular bisector be y=mx+c

Now m=3/2

y=3x/2+c

2y=3x+2c

(-1,-1) lies on the given line

-2=-3+2c

2c=3-2

2c=1

Equation of bisector is 2y=3x+1

Equation of y axis  x=0

Substituting,

2y=1

x=0

Point of intersection (1/2,0)--------------(Ans)