Correct Answer - Option 4 :
\(\rm\sqrt{2}\) units
Concept:
General form of the equation of a circle, x2 + y2 + 2gx + 2fy + c = 0
Radius = \(\rm\sqrt{g^{2}+f^{2}-c}\)
Calculation:
The given equation of circle is x2 + y2 + 4x - 6y + 11 = 0
On compare with standard equation of circle x2 + y2 + 2gx + 2fy + c = 0
We get , g = 2 , f = 3 and c = 11
We know that , radius = \(\rm\sqrt{g^{2}+f^{2}-c}\)
radius = \(\rm\sqrt{2^{2}+3^{2}-11}\)
⇒ radius = \(\rm\sqrt{2}\) units.
The correct option is 4.