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
and equation of a circle is
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.
The maximum number of intersection points that a parabola and a
circle could have is 4. The correct answer between all the choices
given is the first choice or letter A. I am hoping that this answer has
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