isi-entrance 2013 Q51

isi-entrance · India 4 marks Circles Circle-Related Locus Problems
Let $P$ be a variable point on a circle $C$ and $Q$ be a fixed point outside $C$. If $R$ is the mid-point of the line segment $PQ$, then the locus of $R$ is
(A) a circle
(B) an ellipse
(C) a line segment
(D) segment of a parabola
Let $P$ be a variable point on a circle $C$ and $Q$ be a fixed point outside $C$. If $R$ is the mid-point of the line segment $PQ$, then the locus of $R$ is\\
(A) a circle\\
(B) an ellipse\\
(C) a line segment\\
(D) segment of a parabola