Assertion :The equation $x^{2} + y^{2} - 4 x - 4 y = 0$ represents a circle with centre $(2, 2)$ passing through the origin. Reason: The equation $x^{2} + y^{2} + 4 x + 6 y + 13 = 0$ represents a point.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
Assertion: True
$(x - 2)^{2} + (y - 2)^{2} = 8$ , is a circle with centre at $(2, 2)$ .
Reason: ${(x + 2)}^{2} + {(y + 3)}^{2} = 0$ which gives a circle of zero radius and hence the point $(- 2, - 3)$ .
So reason is true.
But reason is not the correct explanation for assertion.

Hence, option B.

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