The equation x² + y² + 2x − 4y + 5 = 0 represents
(a) a point
(b) a pair of straight lines
(c) a circle of non-zero radius
(d) none of these

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Solution

(a) a point

The radius of the given circle = $\sqrt{1^{2} + {(- 2)}^{2} - 5} = 0$

Hence, the radius of the given circle is zero, which represents a point.

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