JEE Main & Advanced
Mathematics
Conic Sections
Question Bank
Numerical Value Type Questions - Hyperbola
question_answer
Let LL' be the latus rectum through the focus of the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] and A' be the farther vertex If \[\Delta \,\,A'LL'\] is equilateral and the eccentricity of the hyperbola (axes are coordinate axes) is \[\left( 1+\frac{1}{k} \right)\] then find k.