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Tangents are drawn from point P on the curve `x^(2) - 4y^(2) = 4` to the curve `x^(2) + 4y^(2) = 4` touching it in the points Q and R . Prove that the mid -point of QR lies on `x^(2)/4 - y^(2) = (x^(2)/4 + y^(2))^(2)`

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