## Math Problem Statement

Two circles have the following properties:- the x-axis 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. radius of cricle1 is 5 and radius of circle2 is 10 show the solution

## Solution

## Math Problem Analysis

### Mathematical Concepts

Geometry

Circle Geometry

Equation of Circle

Distance from Point to Line

### Formulas

Distance formula from a point to a line

### Theorems

Properties of circles with common tangents

### Suitable Grade Level

Grades 10-12