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Question

The internal common tangents of the circles x2+y24x4y+4=0 and x2+y2+6x+6y+9=0 are

A
x=0
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B
xy=2
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C
y=0
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D
x+y=2
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Solution

The correct option is B x=0
As we have x2+y24x4y=0
(x2)2+(y2)2=22
Centre =C1(2,2) with radius =2
From another equation of circle
x2+y2+6x+9=0
(x+3)2+(y+3)2=32
Centre =C2(3,3) with radius =3
To find the internal common tangents of circle with the help of section formula
x=3(2)+2(3)3+2x=0

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