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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.

    Answer:

    1.73


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