The locus of the middle points of chords of hyperbola \( 3 x^{2}-2 y^{2}+4 x-6 y=0 \) parallel t...

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The locus of the middle points of chords of hyperbola \( 3 x^{2}-2 y^{2}+4 x-6 y=0 \) parallel to \( y=2 x \) is
(A) \( 3 x-4 y=4 \)
(B) \( 3 y-4 x+4=0 \)
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(C) \( 4 x-4 y=3 \)
(D) \( 3 x-4 y=2 \)
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