JEE Main & Advanced Mathematics Conic Sections Question Bank Hyperbola

  • question_answer
    The eccentricity of the hyperbola \[2{{x}^{2}}-{{y}^{2}}=6\] is [MP PET 1992]

    A)            \[\sqrt{2}\]                               

    B)            2

    C)            3     

    D)            \[\sqrt{3}\]

    Correct Answer: D

    Solution :

                       \[\frac{{{x}^{2}}}{(6/2)}-\frac{{{y}^{2}}}{6}=1\]Þ \[{{a}^{2}}=3\]and\[{{b}^{2}}=6\]                    Therefore\[e=\sqrt{\frac{{{b}^{2}}}{{{a}^{2}}}+1}\]Þ\[e=\sqrt{3}\].


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