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Question

The circle concentric with x2+y2+4x+6y+3=0 and radius 2 is

A
x2+y2+4x+6y+9=0
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B
x2+y2+4x+6y+9=
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C
x2+y24x6y+9=0
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D
x2+y2=4
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Solution

The correct option is B x2+y2+4x+6y+9=
Equation of the circle is given as x2+y2+4x+6y+3=0
x2+4x+4+y2+6y+9=3+9+4
(x2+2)2(y+3)2=10
Centre of the circle is (2,3)
Circle with centre (2,3) and radius 2
(x+2)2+(y+3)2=(2)2
x2+4x+4+y2+6x+9=4
x2+y2+4x+6x+9=0.

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