Circle And System Of Circles Question 218
Question: The length of intercept, the circle $ x^{2}+y^{2}+10x-6y+9=0 $ makes on the x-axis is
[Pb. CET 2001]
Options:
A) 2
B) 4
C) 6
D) 8
Show Answer
Answer:
Correct Answer: D
Solution:
Comparing the given equation with $ x^{2}+y^{2}+2gx+2fy+c=0 $ , we get $ g=5 $
$ \therefore $ Length of intercept on x-axis = $ 2\sqrt{g^{2}-c} $ = $ 2\sqrt{{{(5)}^{2}}-9} $ = 8.
BETA
