Question

Which of the following circles have their centers on the x-axis? Check all that apply.

Answer 1

Answer: Option A and Option D

Step-by-step explanation:

By definition the general equation of a circle has the following form

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

Where r is the radius and the point (h, k) is the center of the circle

All points that are on the x axis have the following form:

(h, 0)

Therefore all the circles that have their centers on the x axis will have a value of k = 0.

Identify among the options all those equations that have a value of k = 0

The circles that have their center on the x axis are option A and option D