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To remove the first-degree terms of x^2 + y^2 + 2x - 4y + 1 = 0, shift the origin to

A(-1, 2)
B(-2, 4)
C(2, -4)
D(1, -2)
Answer & Solution
Correct answer: A. (-1, 2)
Completing squares gives (x+1)^2 + (y-2)^2 = 4, so the centre (-1, 2) becomes the new origin.
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