Your Answer is

Correct Answer is D

Explanation

For a circle that is tangent to both x and y axes, and the tangent point is (5, 0) (0, 5), it can be known from the tangent line theorem that its center is not only on the line x=5, but also on the line y = 5 On a straight line, the center of the circle is (5, 5) and the radius is 5. Standard equation of a circle: (x-5)²+(y-5)² = 5²