JEE Main & Advanced Mathematics Conic Sections Question Bank Hyperbola

  • question_answer
    The eccentricity of the hyperbola \[{{x}^{2}}-{{y}^{2}}=25\] is  [MP PET 1987]

    A)            \[\sqrt{2}\]                               

    B)            \[1/\sqrt{2}\]

    C)            2     

    D)            \[1+\sqrt{2}\]

    Correct Answer: A

    Solution :

               \[\frac{{{x}^{2}}}{25}-\frac{{{y}^{2}}}{25}=1\]. Eccentricity \[=\sqrt{2}\] as\[a=b\].


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