Question

Think about all of the ways in which a line and a parabola can intersect. Select all of the number of ways in which a line and a parabola can intersect. 0 1 2 3 4 infinitely many.

Answer 1

A circle can interest a parabola in
1. One point ( when circle just touches the parabola)

2. Two points ( when circle cuts the parabola in two distinct points)

3. Three points (circle just touches at one point and cuts the parabola in two distinct ponies)

4. Four points ( either parabola or circle meeting each other or crossing at four distinct points )

(Sorry if this didn’t help )