The locus of a point whose chord of contact with respect to the circle \( x^{2}+y^{2}=4 \) is a ...

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The locus of a point whose chord of contact with respect to the circle \( x^{2}+y^{2}=4 \) is a tangent to the hyperbola \( x y=1 \) is a/ an:
(a) Ellipse
(b) Circle
(c) Hyperbola
(d) Parabola
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