A circle has a center that falls on the line #y = 3x +4 # and passes through #(4 ,4 )# and #(9 ,2 )#. What is the equation of the circle?
1 Answer
Explanation:
The midpoint of segment joining
Further slope of this segment is
Hence, equation of the perpendicular bisector (on which we have the centre as it is equidistant from the two given points) is
Solving
and
Its distance from
or
or