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Find an Equation of a Circle That Satisfies the Following (1,2)( 1,2 )

Question 2

Multiple Choice

Find an equation of a circle that satisfies the following condition. Write your answer in standard form. Center: (1,2) ( 1,2 ) ; passing through (5,3) ( 5 , - 3 )


A) (x+1) 2+(y+2) 2=(41) 2( x + 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = ( \sqrt { 41 } ) ^ { 2 }
B) (x5) 2+(y+3) 2=(41) 2( x - 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = ( \sqrt { 41 } ) ^ { 2 }
C) (x1) 2+(y2) 2=(34) 2( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = ( \sqrt { 34 } ) ^ { 2 }
D) (x1) 2+(y2) 2=(41) 2( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = ( \sqrt { 41 } ) ^ { 2 }
E) (x5) 2+(y+3) 2=(34) 2( x - 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = ( \sqrt { 34 } ) ^ { 2 }

Correct Answer:

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