Question

What is the maximum number of intersection points a parabola and a circle could have?

Answer 1

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.

Answer 2

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 satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.