Consider three points A(1,2), B(4,5), and C(2,−1).
a. Find the equation of the perpendicular bisector of: i[AB]ii[AC]iii[BC] .
b. Graph the three perpendicular bisectors on the same set of axes. Discuss your observations.
c. Describe how to find the centre of the circle which passes through three non-collinear points.