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

Answers

  1. Answer:
    B and C
    Step-by-step 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

    Reply

Leave a Comment