Respuesta :

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.

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

[tex]y=x^2[/tex]

and equation of a circle is

[tex]x^2+(y-4)^2=9[/tex]

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.

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