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What does x² + y² + 2x − 4y + 5 = 0 represent?

AA circle of radius 1
BA circle of radius 2
CA single point (−1, 2)
DNo real locus at all
Answer & Solution
Correct answer: C. A single point (−1, 2)
Here g² + f² − c = 1 + 4 − 5 = 0, so the radius is zero and only the centre (−1, 2) satisfies it.
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