question_answer

Circle \[{{x}^{2}}+{{y}^{2}}+6y=0\]touches

A)            y-axis at the origin                   

B)            x-axis at the origin

C)            x-axis at the point (3, 0)         

D)            The line \[y+3=0\]

Correct Answer: B

Solution :

           Centre is (0,?3) and \[R=\sqrt{{{0}^{2}}+9+0}=3\].