Question

The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at (0,9). If the circle intersects the parabola at the parabola's vertex, which statement must be true?

A. The maximum number of solutions is one

B. The maximum solutions is three

C. The circle has a radius equal to 3

D. That circle as a radius less than 9

Answer 1

A. the maximum number of solutions is one

Since the circle and parabola intersect at (0, 9 ) this is the only solution there is, as the parabola opens upward away from the circle.

Answer 2

A. the maximum number of solutions is one

Explanation:

The center of the circle is given as (0,0)

The parabola opens up and intersects the circle at its vertex (0,9).

The number of solutions is determined by the points the parabola and the circle is intersecting .Since the parabola is intersecting the circle at only one point at the parabola vertex that is (0,9) hence the maximum number of solution is one .

Option A is the right answer.