Question

Which of the following is a degenerate circle? answer choices A,B,C,D from top to bottom

Answer 1

Hello,

we may call a point as a degenerated circle :
(x-5)²+(y-1)²=0 is the point (5;1)

Answer A

Answer 2

Answer:

A. $(x-5)^2+(y-1)^2=0$

Step-by-step explanation:

When the radius of a circle is zero, then it is  called a degenerate circle.

The general equation of circle with center at $(h,k)$ and radius of r is,

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

So the radius is 0, so the equation will be in form of,

$(x-h)^2+(y-k)^2=0$

Out of the given option A has is a circle with radius of 0.

$(x-5)^2+(y-1)^2=0^2$