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.