State whether the following statements are true or false.
The equation $x^{2} + y^{2} + 2 x - 10 y + 30 = 0$ represents the equation of a circle.

True

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False

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Solution

The correct option is B False
The radius of this circle = $\sqrt{1^{2} + (- 5)^{2} - 30} = \sqrt{(- 4)}$ which is imaginary

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