The most number of points a hyperbola can intersect a circle is _________ points.
A) one
B) two
C) three
D) four

Question

Quizplus · Accepted Answer

A hyperbola can intersect a circle in up to four points, as shown in the graph below.

![hyperbola and circle intersection](https://i.imgur.com/Iedg9J3.png)

The blue curve is a hyperbola, and the red curve is a circle. As we can see, the hyperbola intersects the circle at four points: A, B, C, and D. Therefore, the correct answer is (D) four.

The Most Number of Points a Hyperbola Can Intersect a Circle