Circle And System Of Circles Question 136

Question: The equation of circle passing through (4, 5) and having the centre at (2, 2), is

[MNR 1986; MP PET 1984]

Options:

A) $ x^{2}+y^{2}+4x+4y-5=0 $

B) $ x^{2}+y^{2}-4x-4y-5=0 $

C) $ x^{2}+y^{2}-4x=13 $

D) $ x^{2}+y^{2}-4x-4y+5=0 $

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Answer:

Correct Answer: B

Solution:

Centre (2, 2) and $ R=\sqrt{{{(4-2)}^{2}}+{{(5-2)}^{2}}}=\sqrt{13} $

Hence required equation is $ x^{2}+y^{2}-4x-4y-5=0 $ .