One equation of common tangent to ellipse \( \mathrm{P} \) \( \frac...
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One equation of common tangent to ellipse
\( \mathrm{P} \) \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) and hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=2 \) is
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(1) \( 2 y=\sqrt{3} b x+a b \)
(2) \( y=2 \sqrt{3} \frac{b}{a} x+2 b \)
(3) No common tangent
(4) \( a y=\sqrt{3} b x+2 a b \)
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