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CGP EDU Academic Team
Published on: August 12, 2026
A variable circle passes through the fixed point (2,0) and touches the y -axis . Then the locus of its centre is
Text Solution
Verified by ExpertsThe correct answer is:
D
Suppose the centre of circle be
. Since it touches the
,
radius of circle = h
Now

. Hence the locus of centre is
, which is a parabola.
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