Question

Which of the following circles have their centers on the x-axis? Check all that apply. A.(x - 0)2 + (y - 5)2 = 49 B.(x - 0)2 + (y - 0)2 = 25 C.(x - 4)2 + (y - 0)2 = 22 D.(x + 1)2 + (y - 7)2 = 16

Answer 1

B and C

Explanation:

Equation of a circle is given by (x-a)² + (y-b)² = r²

where (a,b) is the center of the circle and r the radius

So for a circle to have a center on the x axis, y should be 0

A) has center (0, 5) o not on X axis

B) has center (0,0) hence center on X axis

C) has center (4, 0) hence center on X axis

D) has center (-1, 7) so not on X axis