a line and a circle can have at most two common pointsSoluti

a line and a circle can have at most two common points

Solution

True. The simplest proof that I can think of is - We can draw a perpendicular bisector of a chord that goes through the center of the circle. If there were three points on the same chord, the bisectors would be parallel and two of them would miss the center

Hence, a line and a circle can have at most two common points