The equation x^2+y^2+4 x+6 y+13=0 represents a - Vidyadip

MCQ

The equation $x^2+y^2+4 x+6 y+13=0$ represents a

A
circle
B
pair of coincident straight lines
C
pair of concurrent straight lines
✓
point circle

✓

Answer

Correct option: D.

point circle

(D)
Here, $g =2, f =3$ and $c =13$
$\therefore \quad r=\sqrt{g^2+f^2-c}$
$\therefore \quad r=\sqrt{4+9-13}=0$
option (D) is the correct answer.

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