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The origin should be moved to which point to remove x and y terms of 3x² + 2y² - 6x + 8y - 1 = 0?

A(-1, 2)
B(1, -2)
C(1, 2)
D(2, -4)
Answer & Solution
Correct answer: B. (1, -2)
3(x - 1)² + 2(y + 2)² = 12, so the shift is x = x' + 1 and y = y' - 2, i.e. origin (1, -2).
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