Locus of the middle point of the parallel chords with gradient \( \mathrm{m} \) of the rectangul...

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Locus of the middle point of the parallel chords with gradient \( \mathrm{m} \) of the rectangular hyperbola
(a) \( y+m x=0 \)
(b) \( y-m x=0 \)
(c) \( m x-x=0 \)
(d) \( m x+x=0 \)
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