Circle And System Of Circles Question 126

Question: Circle $ x^{2}+y^{2}+6y=0 $ touches

Options:

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 $

Show Answer

Answer:

Correct Answer: B

Solution:

Centre is (0,-3) and $ R=\sqrt{0^{2}+9+0}=3 $ .