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Coordinate Geometry
Circles, Center and Radius
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Grade 12

Question:

The center of the circle x^2 + y^2 - 4x + 6y - 12 = 0 is:
A. (2, -3)
B. (-2, 3)
C. (2, 3)
D. (-2, -3)

Step-by-Step Solution

Key Concept: General equation: x^2 + y^2 + 2gx + 2fy + c = 0, center = (-g, -f).
Step 1: Center = (2, -3).
Correct Answer: A
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