Question

The locus of the centers of all circles of given radius $r$, in the same plane, passing through a fixed point $P$, is called:

• A. a straight line
• B. two straight lines
• C. a circle
• D. two circles
• E. a point

Answer 1

Answer: (C)

a circle

• We know, in a circle, the distance of each center from a fixed point $P$ is constant and the value is equal to $r$, which is the radius.
• So the locus of centers is the circle with radius $r$.

Hence, option $C$ is correct.