Math 445 Quiz #2

Suppose you start with two circles c1 and c2.  Answer briefly.  Include a sketch.

1. If the two circles intersect, tell 2 ways to construct a circle e orthogonal to both c1 and c2.

·        Given the center of e (where would the center have to be)

·        Given a point A through which e passes.

2. If the two circles do not intersect, tell 2 ways to construct a circle e orthogonal to both c1 and c2.

·        Given the center of e (where would the center have to be)

·        Given a point A through which e passes.