SOLUTION: Please help me solve this. Q) The points (8, 4) is on the circle that is tangent to the line 3y-4x-11=0 at (1, 5). Find the equation of the circle. Where does it cut the x-axis?

Click here to see ALL problems on Circles

Question 1067029: Please help me solve this.
Q) The points (8, 4) is on the circle that is tangent to the line 3y-4x-11=0 at (1, 5). Find the equation of the circle. Where does it cut the x-axis?
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
The points A(8,4) is on the circle that is tangent to the line 3y-4x-11=0
at B(1,5). Find the equation of the circle. Where does it cut the x-axis?
-------------
Find the PB (perpendicular bisector) of AB.
The center of the circle is on that line.
----
Find the equation of the line perpendicular to the given line thru B.
The center of the circle is on that line.
==============
Find the intersection of the 2 lines --> center C (h,k).
========
The radius r is the distance AC or BC.
==================