Answer:
The correct option is A.
Step-by-step explanation:
A parabola and a circle can intersect each other at most 4 times. It can be proved through an example.
Let the equation of a parabola is
\(y=x^2\)
and equation of a circle is
\(x^2+(y-4)^2=9\)
From the below figure it is clear that the parabola and circle intersect each other at four point. From the above example it is clear that a parabola and a circle can intersect each other at most 4 times.
Therefore the correct option is A.
