A tangent to the ellipse \( x^{2}+4 y^{2}=4 \) meets the ellipse \( x^{2}+ \) \( 2 y^{2}=6 \) at...

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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 \( P \) and \( Q \). Prove that the tangents at \( P \) and \( Q \) of the ellipse \( x^{2}+2 y^{2}=6 \) are at right angles.
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