Circle And System Of Circles Question 226

Question: The radius of the circle $ x^{2}+y^{2}+4x+6y+13=0 $ is

[Karnataka CET 2005]

Options:

A) $ \sqrt{26} $

B) $ \sqrt{13} $

C) $ \sqrt{23} $

D) 0

Show Answer

Answer:

Correct Answer: D

Solution:

Given equation of circle is $ x^{2}+y^{2}+4x+6y+13=0 $

Radius = $ \sqrt{g^{2}+f^{2}-c}=\sqrt{4+9-13}=0 $ .