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Q. Let $C$ be a circle and $L$ a line on the same plane such that $C$ and $L$ do not intersect. Let $P$ be a moving point such that the circle drawn with centre at $P$ to touch $L$ also touches $C$. Then the locus of $P$ is -

Conic Sections

Solution:

Correct answer is (d) a parabola whose focus is the centre of $C$ and whose directrix is a straight line parallel to $L$.