\( \mathrm{P} \) If the latusrectum of a hyperbola forms an W equil...

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\( \mathrm{P} \)
If the latusrectum of a hyperbola forms an
W equilateral triangle with the vertex at the centre of the hyperbola, then the eccentricity of the hyperbola is
(1) \( \frac{\sqrt{5}+1}{2} \)
(2) \( \frac{\sqrt{11}+1}{2} \)
(3) \( \frac{\sqrt{13}+1}{2 \sqrt{3}} \)
(4) \( \frac{\sqrt{13}-1}{2 \sqrt{3}} \)
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