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Moving the origin to (3, 4) changes x² + y² = 25 into
Ax'² + y'² - 6x' - 8y' = 0
Bx'² + y'² + 6x' + 8y' = 25
Cx'² + y'² + 6x' = 0
Dx'² + y'² + 6x' + 8y' = 0
Answer & Solution
Correct answer: D. x'² + y'² + 6x' + 8y' = 0
Putting x = x' + 3 and y = y' + 4 gives x'² + 6x' + y'² + 8y' + 25 = 25, so the right side is zero.
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