For a point P on an ellipse, let d be the distance from the center of the
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For a point P on an ellipse, let d be the distance from the center of the ellipse to the line tangent to the ellipse at P. Prove that (PF₁)(PF₂)d2 is constant as P varies on the ellipse, where PF1 and PF2 are the distances from P to the foci F1 and F₂ of the ellipse.
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