Question

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

Answer 1

Zero if the circle is for example in the 2nd/3rd quadrant and the hyperbola is in the 1st and 4th

Answer 2

Answer:

The minimum number of intersection points a hyperbola and a circle is zero.

Step-by-step explanation:

A hyperbola is two sided open curve. It is divided in two same curve. Both curve are facing in opposite directions and they do not intersects each other.

We know that

$y=\frac{1}{x}$

This is a hyperbola. The function is defined only in 1st and 3rd quadrant.

If a circle is formed in 2nd and fourth quadrant, then the intersection points between hyperbola and circle is 0.

Let the equation of the circle be

$(x+2)^2+(y-2)^2=1$

The graph of circle and parabola is given below.