1954 AMC 12 Question 39
AMC12 · 1954 AMC 12
The locus of the midpoint of a line segment that is drawn from a given external point $P$ to a given circle with center $O$ and radius $r,$ is:
a straight line perpendicular to $\overline{PO}$
a straight line parallel to $\overline{PO}$
a circle with center $P$ and radius $r$
a circle with center at the midpoint of $\overline{PO}$ and
radius $2r$
a circle with center at the midpoint of
$\overline{PO}$ and radius $\dfrac12r$