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Question

The circle x2+y28x+4y+4=0 touches:

A
x-axis
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B
y-axis
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C
Both axis
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D
Neither x-axis nor y-axis
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Solution

The correct option is D y-axis
x2+y28x+4y+4=0
(x28x+16)+(y2+4y+4)=16
(x4)2+(y+2)2=42
Center is (4,2) and radius is 4
Hence given circle touches y-axis

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