Given an ellipse x2/a2 + y2/b2 = 1, where a b, find the equation of the set

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Given an ellipse x2/a2 + y2/b2 = 1, where a ≠ b, find the equation of the set of all points from which there are two tangents to the curve whose slopes are?
(a) Reciprocals and
(b) Negative reciprocals.
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