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Let $L L^{\prime}$ be the latus rectum through the focus $S$ of a hyperbola and $A^{\prime}$ be the opposite vertex of the hyperbola. If triangle $A^{\prime} L L^{\prime}$ is equilateral, then the eccentricity of the hyperbola is
MathematicsHyperbolaAP EAMCETAP EAMCET 2020 (07 Oct Special)
Options:
  • A $\frac{\sqrt{3}+1}{\sqrt{3}}$
  • B $\frac{\sqrt{3}+1}{\sqrt{2}}$
  • C $\frac{\sqrt{3}+1}{\sqrt{5}}$
  • D $\sqrt{3}+1$
Solution:
1179 Upvotes Verified Answer
The correct answer is: $\frac{\sqrt{3}+1}{\sqrt{3}}$
No solution. Refer to answer key.

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