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Find the Center (H, K) and Radius R of the Circle

Question 128

Multiple Choice

Find the center (h, k) and radius r of the circle with the given equation.
- x2+y24x+8y=29x ^ { 2 } + y ^ { 2 } - 4 x + 8 y = 29


A) (h,k) =(4,2) ;r=49( \mathrm { h } , \mathrm { k } ) = ( 4 , - 2 ) ; \mathrm { r } = 49
B) (h,k) =(2,4) ;r=7( \mathrm { h } , \mathrm { k } ) = ( 2 , - 4 ) ; \mathrm { r } = 7
C) (h,k) =(2,4) ;r=49( \mathrm { h } , \mathrm { k } ) = ( - 2,4 ) ; \mathrm { r } = 49
D) (h,k) =(4,2) ;r=7( \mathrm { h } , \mathrm { k } ) = ( - 4,2 ) ; \mathrm { r } = 7

Correct Answer:

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