Circle And System Of Circles Question 183

Question: The equation of the circle which passes through (1, 0) and (0, 1) and has its radius as small as possible, is

Options:

A) $ x^{2}+y^{2}-2x-2y+1=0 $

B) $ x^{2}+y^{2}-x-y=0 $

C) $ 2x^{2}+2y^{2}-3x-3y+1=0 $

D) $ x^{2}+y^{2}-3x-3y+2=0 $

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Answer:

Correct Answer: B

Solution:

The radius will be minimum, if the given points are the end points of a diameter.