The general equation of a circle:
x2 + y2 + 2gx + 2fy + c = 0…(i) where c, g, f are constants.
Given, x2 + y2 + 2x + 10y + 26 = 0
Comparing with (i) we see that the equation represents a circle with 2g = 2g = 1, 2f = 10f = 5 and c = 26.
Centre ( - g, - f) = ( - 1, - 5).
Thus it is a point circle with radius 0.
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