The locus of the centre of a circle touching the line \( x+2 y=0 \) and \( x-2 y=0 \) is (a) \( ...

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The locus of the centre of a circle touching the line \( x+2 y=0 \) and \( x-2 y=0 \) is
(a) \( x y=0 \)
(b) \( x=0 \)
(c) \( y=0 \)
(d)
none of these
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