Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x ² + y ² + Dx + Ey + F = 0. Center at (0, -5)and r = 6 A)x ² + y ² - 10 y - 61 = 0 B)x ² + y ² - 10 y + 25 = 0 C)x ² + y ² + 10 y - 11 = 0 D)x ² + y ² + 10 y + 25 = 0

Question

Quizplus · Accepted Answer

The standard equation of a circle with center (a,b) and radius r is:
(x-a)^2 + (y-b)^2 = r^2
Substituting the given values, we get:
(x-0)^2 + (y+5)^2 = 6^2
Simplifying and putting in the required format:
x^2 + y^2 + 10y + 25 - 36 = 0
x^2 + y^2 + 10y - 11 = 0
Therefore, the correct choice is C.

Find the Equation of the Circle That Satisfies the Following