Question

In the rectangular coordinate system, points (4,0) and (–4,0) both lie on circle C. What is the maximum possible value of the radius of C ?

Answer 1

There is no finite maximum value of the radius of C.

Explanation:

We have been given that in the rectangular coordinate system, points (4,0) and (–4,0) both lie on circle C. We are asked to find the maximum possible value of the radius of C.

If the center of the circle C would have been at origin (0,0), then the radius of the circle C would be 4 units.

Since there is no information given about center of circle, so radius can be infinitely long. Therefore, there is no finite maximum value of the radius of C.