Question

The locus of the centres of all circles of given radius $r$, in the same planes, passing through a fixed point is

• A. A point
• B. A circle
• C. A straight line
• D. Two straight lines

Answer 1

Answer: (B)

A circle

The locus of the centres of all circles of given radius r, in the same plane, passing through a fixed point P$(x_1,y_1)$ is - A circle, whose radius is $r$ and centre is the given fixed point $P(x,y)$ Its equation will be
$(x-x_1{)}^2+(y-y_1{)}^2=r^2$