A tangent to the ellipse \( x^{2}+4 y^{2}=4 \) meets the ellipse \(...

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A tangent to the ellipse \( x^{2}+4 y^{2}=4 \) meets the ellipse \( x^{2}+2 y^{2}=6 \) at \( P \& \) Q. Prove that the tangents at \( P \) \& Q of the ellipse \( x^{2}+2 y^{2}=6 \) are at right angles.
\( \mathrm{P} \)
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