Prove the following


If $3 x+4 y=12 \sqrt{2}$ is a tangent to the ellipse

$\frac{\mathrm{x}^{2}}{\mathrm{a}^{2}}+\frac{\mathrm{y}^{2}}{9}=1$ for some $\mathrm{a} \in \mathrm{R}$, then the distance

between the foci of the ellipse is :

  1. 4

  2. $2 \sqrt{7}$

  3. $2 \sqrt{5}$

  4. $2 \sqrt{2}$

Correct Option: , 2


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