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A tangent to the ellipse x + 4y = 4 meets the ellipse x + 2y = 6 at P and Q. Prove that

A tangent to the ellipse x + 4y = 4 meets the ellipse x + 2y = 6 at P and Q. Prove that the tangents at P and Q of the ellipse x + 2y = 6 are at right angles.

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