The locus of the point of intersection of \( \mathrm{P}^{17:} \) W ...

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The locus of the point of intersection of
\( \mathrm{P}^{17:} \)
W \( \frac{x}{a}-\frac{y}{b}=k, \frac{x}{a}+\frac{y}{b}=\frac{1}{k}, \quad \) where \( k \) is a variable parameter is
(1) A circle
(2) A parabola
(3) Ellipse
(4) Hyperbola
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