JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    The eccentricity of the ellipse \[25{{x}^{2}}+16{{y}^{2}}-150x-175=0\] is                                                            [Kerala (Engg.) 2005]

    A)            2/5 

    B)            2/3

    C)            4/5 

    D)            3/4

    E)            3/5

    Correct Answer: E

    Solution :

               \[25{{(x-3)}^{2}}+16{{y}^{2}}=400\]                    \[\frac{{{(x-3)}^{2}}}{16}+\frac{{{y}^{2}}}{25}=1\]                    \[e=\sqrt{1-\frac{16}{25}}=\frac{3}{5}\]


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