If \( 3 x+4 y=12 \sqrt{2} \) is a tangent to the ellipse \( \mathrm...

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If \( 3 x+4 y=12 \sqrt{2} \) is a tangent to the ellipse
\( \mathrm{P}^{1+4: 4} \)
W. \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{9}=1 \) for some \( a \in R \), then the distance between the foci of the ellipse is
(1) \( 2 \sqrt{5} \)
(2) \( 2 \sqrt{7} \)
(3) 4
(4) \( 2 \sqrt{2} \)
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