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Consider two concentric circles S1 : |z|...

Consider two concentric circles `S_1 : |z|=1 and S_2 : |z|=2` on the Argand plane . A variable parabola is drawn through the points where `'S_1'` meets the real axis and having arbitrary tangent drawn to `S_2` as its directrix. If the locus of the focus of the parabola is a conic C then find the area of the quadrilateral formed by the tangents at the ends of the Latus-rectum of conic C.

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