Circle And System Of Circles Question 76

Question: The radius of the circle, having centre at (2,1) whose one of the chord is a diameter of the circle $ x^{2}+y^{2}-2x-6y+6=0 $ is

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Options:

A) 1

B) 2

C) 3

D) $ \sqrt{3} $

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Answer:

Correct Answer: C

Solution:

The centre of the given circle is (1, 3) and radius is 2. So, AB is a diameter of the given circle has its mid point as (1, 3). The radius of the required circle is 3.