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JEE Main & Advanced Mathematics Conic Sections Question Bank Hyperbola

  • question_answer
    If e and e? are the eccentricities of the ellipse \[5{{x}^{2}}+9{{y}^{2}}=45\] and the hyperbola \[5{{x}^{2}}-4{{y}^{2}}=45\] respectively, then \[ee'=\] [EAMCET 2002]

    A)            9     

    B)            4

    C)            5     

    D)            1

    Correct Answer: D

    Solution :

               Clearly \[e=\frac{2}{3}\] and \[e'\] = \[A'N=a(1+\cos \theta )\], \[\therefore \]\[ee'\,=1.\]


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