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The equation below describes a circle. What are the coordinates of the centerof the circle?(x-4)^2 + (y+12)^2 = 17²O A. (4,12)OB. (-4,-12)O C. (-4,12)OD. (4, -12)21

The equation below describes a circle. What are the coordinates of the centerof the-example-1

1 Answer

3 votes

Solution:

The equation is given below as


(x-4)^2+(y+12)^2=17^2

Concept:

The general equation of a circle is given below as


\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ where, \\ (h,k)=center \end{gathered}

Hence,

By comparing coefficients, we will have the center of the circle be


(h,k)\Rightarrow(4,-12)

Hence,

The final answer is


\Rightarrow(4,-12)

OPTION D is the right answer

The equation below describes a circle. What are the coordinates of the centerof the-example-1
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