If \( m \) is a variable, the locus of the point of intersection of...

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If \( m \) is a variable, the locus of the point of intersection of the lines \( \frac{x}{3}-\frac{y}{2}=m \) and \( \frac{x}{3}+\frac{y}{2}=\frac{1}{m} \) is a \( a n \)
(A) parabola
(B) ellipse
\( \mathrm{P} \)
(C) hyperbola
(D) none of these
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