Math  /  Geometry

QuestionDetermine the center and radius of the circle given by x2+12x+y24y+15=0x^{2}+12x+y^{2}-4y+15=0. Choose the correct option.

Studdy Solution
Now, we can see that the equation is in the form (xh)2+(yk)2=r2(x-h)^{2}+(y-k)^{2}=r^{2}, so we can identify the center (h,k)(h,k) and the radius rr of the circle.The center is (6,2)(-6,2) and the radius is 25=5\sqrt{25}=5.
So, the correct answer is A) center (6,2)(-6,2), radius =5=5.

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