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JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    The eccentricity of the ellipse \[9{{x}^{2}}+5{{y}^{2}}-18x-2y-16=0\] is               [EAMCET 2003]

    A)            1/2 

    B)            2/3

    C)            1/3 

    D)            3/4

    Correct Answer: B

    Solution :

               Given equation can be written as                    \[\frac{{{(x-1)}^{2}}}{5}+\frac{{{(y-2)}^{2}}}{9}=1\];  \[e=\sqrt{\frac{{{b}^{2}}-{{a}^{2}}}{{{b}^{2}}}}=\sqrt{\frac{9-5}{9}}=\frac{2}{3}\].


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