Question

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

A. 4
B. 2
C. 1
D. 3

Answer 1

The correct option is A.

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.