Question

prove that a line cannot intersect a circle at more than two points​

Answer 1

Answer:

"However, if our line intersected the circle at more than 2 points then the solution set must contain at least 3 distinct roots (otherwise the overlap point would be redundant) which would violate the fundamental theorem of algebra. ... Therefore, a line cannot intersect a circle at more than two points."

Answer 2

Step-by-step explanation:

However, if our line intersected the circle at more than 2 points then the solution set must contain at least 3 distinct roots (otherwise the overlap point would be redundant) which would violate the fundamental theorem of algebra. ... Therefore, a line cannot intersect a circle at more than two points.