Circle And System Of Circles Question 131

Question: For the circle $ x^{2}+y^{2}+6x-8y+9=0 $ , which of the following statements is true

Options:

A) Circle passes through the point $ (-3,\ 4) $

B) Circle touches x-axis

C) Circle touches y-axis

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ 2\sqrt{g^{2}-c}=2\sqrt{9-9}=0 $

Intercept cut on x-axis is zero.

Hence circle touches x-axis.