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Find the Equation of the Circle with a Radius of 9

Question 40

Multiple Choice

Find the equation of the circle with a radius of 9 and its center at the intersection of 5x+y=205 x + y = 20 and 2x2 x - 3y=93 y = - 9 .


A) (x3) 2+(y5) 2=9\quad ( x - 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 9
B) (x3) 2+(y+5) 2=81\quad ( x - 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 81
C) (x+3) 2+(y+5) 2=81\quad ( x + 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 81
D) (x+3) 2+(y+5) 2=9\quad ( x + 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 9
E) (x3) 2+(y5) 2=81\quad ( x - 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 81

Correct Answer:

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