How to write a system of equation that satisfies the conditions "two circles that intersect in three points?"
1 Answer
Jan 17, 2017
Two circles meet in two points that are real and distinct, real and coincident or imaginary.
Explanation:
Two circles meet in two points that are real and distinct, real and
coincident or imaginary.
Let the equations be
Subtracting for for common points (x, y)
This quadratic has real and distinct , real and equal or complex
according as
Correspondingly, y is real, same or complex.