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Locus of feet of perpendiculars drawn from either foci on a variable tangent to hyperbola `16y^2-9x^2=1` is (A) `x^2+y^2=9` (B) `x^2+y^2=1/9` (C) `x^2+y^2= 7/144` (D) `x^2+y^2=1/16`

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