Question

NO LINKS!!!! URGENT HELP PLEASE!!!!

Find a formula that states that P(x, y) is a distance r > 0 from a fixed point C(h, k). Describe the set of all such points.


Describe the set of all such points.

This is a circle radius _________, with a center at (x, y) = (_______)

Answer 1

radius r and a center at (h,k).

Explanation:

The formula that states that P(x,y) is a distance r > 0 from a fixed point C(h,k) is:

(x - h)^2 + (y - k)^2 = r^2

This equation represents a circle with a center (h,k) and radius r. The set of all points that satisfy this equation is a circle with center (h,k) and radius r. This circle includes all points in the plane that are a distance r from the point (h,k).

The radius of the circle is r, and the center of the circle is (h,k). Therefore, the circle can be described as a circle with a radius r and a center at (h,k).