Equation of perpendicular bisector is ,
Length of both pa and pb are unit.
Slope of segment ab is,
So, slope of perpendicular bisector will be, negative of reciprocal of slope of segment ab.
Therefore, slope of perpendicular bisector is,
Since, perpendicular bisector passes through the mid point of segment ab.
So, coordinate of mid point of segment ab is,
Thus, perpendicular bisector of ab passing through (- 1, 4) and have slope 3/2.
So, equation of angle bisector is,
Since, the perpendicular bisector intersects the y-axis at point p
So, coordinate of point p is (0, 11/2)
By applying distance formula,
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