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Questions  

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

a
x2+y2+4x+4y−5=0
b
x2+y2−4x−4y−5=0
c
x2+y2−4x−13=0
d
x2+y2−4x−4y+5=0

detailed solution

Correct option is B

The radius of the circle passing through (4, 5) and having its centre at (2, 2) is given byr=(4−2)2+(5−2)2=4+9=13.So, equation of the required circle is (x−2)2+(y−2)2=(13)2⇒x2+y2−4x−4y−5=0

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