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  • Let    be the latus rectum of the hyperbola and <img alt="\mathrm{S_1}" src=

Let  \mathrm{LL_1}  be the latus rectum of the hyperbola and \mathrm{S_1}  is the other focus.

If triangle \mathrm{LL_1S_1} is an equilateral triangle, then the eccentricity is 

\mathrm{\sqrt{\frac{24}{\lambda}}}.  The value of \mathrm{\lambda} is 

Option: 1

22


Option: 2

33


Option: 3

21


Option: 4

20


Answers (1)

best_answer

For the equation S+K=0  to represent a pair of lines,

\mathrm{\begin{aligned} & \left|\begin{array}{ccc} 1 & 2 & -2 \\ 2 & 3 & 1 \\ -2 & 1 & 1+K \end{array}\right|=0 \\\\ & K=-22 \\ & -K=22 \end{aligned}}

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Shailly goel

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