Math 445 Quiz 2

Answer Both Questions

  1. (20 points)
  1. Define the radical axis of two circles.

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  2. Given three circles A, B, C, let x, y, z be the radical axes of the pairs BC, CA, and AB. Prove that x, y and z are concurrent.

 

  1. (20 points)

Given the 3 circles in the figure, construct a circle orthogonal to all 3 circles. Label your work and write a very brief explanation of the main steps.