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 $ .