Question

Which of the following is a degenerate circle?
O A. x² + y² = -4
B. x² + y² = 121
c. (x – 5)² + (y-1)² = 0
D. x+y=12

1. The require degenerative circle is (x – 5)² + (y – 1)² = 0. Option C is correct.
Given that,
The equation for the degenerative circle is to be determined.

### What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x – h)² + (y – k)² = r²
where h, k is the coordinate of the circle’s center on the coordinate plane and r is the circle’s radius.
The degenerative circle is a circle whose radius is zero, from the option,
Option C has the equation of the circle with radius zero.
Thus, the required degenerative circle is (x – 5)² + (y – 1)² = 0.