Find the Equation of the Circle with a Radius of 4

question 10

Multiple Choice

Find the equation of the circle with a radius of 4 and its center at the intersection of $4 x + y = 2$ and $- 3 x -$ $4 y = 5$ .

• A) \(\quad ( x + 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 16\)
• B) \(\quad ( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4\)
• C) \(( x - 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 16\)
• D) \(( x + 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 4\)
• E) none of these

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