Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The centre of the circle passing through the point (0, 1) and touching the curve 
at (2, 4) is
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
Tangent to the parabola 
at 
is
or 
It is also a tangent to the circle so that the centre lies on the normal through (2,4) whose equation is 
where 
is the normal on which lies 
.
∴ ∴ 
.....(i)
Again distance of centre 
from 
and 
on the circle are equal.
.....(ii)
Solving (i) and (ii), we get the centre 
.
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