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To remove the first-degree terms of x² + y² + 6x - 8y = 0, move the origin to

A(-3, 4)
B(-3, -4)
C(3, -4)
D(6, -8)
Answer & Solution
Correct answer: A. (-3, 4)
Completing squares gives (x + 3)² + (y - 4)² = 25, so the centre (-3, 4) is the new origin.
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