请教一套数学题

drealityUID: 2223599

23. P, Q, and R are three points in a plane, and R does not lie on line PQ. Which of the following is true about the set of all points in the plane that are the same distance from all three points?
A It contains no points.
B It contains one point.
C It contains two points.
D It is a line.
E It is a circle.

答案是B,我觉得不确定，可能是一点，两点或三点，具体几点取决于R的位置。

蜜柑123UID: 3693257

我觉得就是画个过这三个点的圆  那个圆心就是那个点 只要p点位置确定 就只有一个点  不知道理解对不