Examine the equation and answer the following:

MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

Examine the equation x2+y2+6x−4y+25=0x^2 + y^2 + 6x - 4y + 25 = 0 and answer the following: (i) Does it represent a circle in the real plane? (ii) If your answer to (i) is yes, find its centre and radius; if no, state why.

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