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

a. 4
b. 3
c. 1
d. 2

A. 4

Step-by-step explanation:

The characteristic equation of a circle is

The characteristic equation of a hyperbola is

The intersection points will be obtained as the solution of the both characteristic equations.

.......(1)

.............(2)

⇒.....(from 1)

put this in (2)

⇒

⇒

⇒

So there are 2 different values of x and two different values of y, thus the maximum number of intersection points  is 4.

the answer is 0.3175 hope that you ^w^

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step-by-step explanation: