Answers

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.

   Learn more about circle here:

   brainly.com/question/11833983

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