Locus of the middle points of a system of parallel chords with slop...

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Locus of the middle points of a system of parallel chords with slope 2 , of the circle \( x^{2}+y^{2}-4 x-2 y-4=0 \), has the equation
\( \mathrm{P} \)
(A) \( x+2 y-4=0 \)
(B) \( x-2 y=0 \)
(C) \( 2 x-y-3=0 \)
(D) \( 2 x+y-5=0 \)
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