Circle And System Of Circles Question 83
Question: If the line $ x+2by+7=0 $ is a diameter of the circle $ x^{2}+y^{2}-6x+2y=0 $ , then $ b= $
[MP PET 1991]
Options:
A) 3
B) - 5
C) - 1
D) 5
Show Answer
Answer:
Correct Answer: D
Solution:
Here the centre of circle $ (3,\ -1) $ must lie on the line $ x+2by+7=0 $ . Therefore, $ 3-2b+7=0\Rightarrow b=5 $ .