Math Problem Statement
Two circles have the following properties: . the xaxis is a common tangent to the circles . the point (8, 2) lies on both circles . the centre of each circle lies on the line x + 2y = 22. a Find the equation of each circle. b Prove that the line 4x + 3y = 88 is a common tangent to these circles. [Inspired by Can we find the two circles that satisfy these three conditions?
Solution
Math Problem Analysis
Mathematical Concepts
Circle Geometry
Equation of a Circle
Tangent Lines
Formulas
Distance from a point to a line
Theorems

Suitable Grade Level
Advanced High School