If a tangent of slopes 2 of the ellipse \( \frac{x^{2}}{a^{2}}+\fra...

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If a tangent of slopes 2 of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) is
\( \mathrm{P}^{130} \)
W normal to the circle \( x^{2}+y^{2}+4 x+1=0 \), then the maximum value of \( a b \) is
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