JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    For the ellipse \[\frac{{{x}^{2}}}{64}+\frac{{{y}^{2}}}{28}=1\], the eccentricity is               [MNR 1974]

    A)            \[\frac{3}{4}\]                           

    B)            \[\frac{4}{3}\]

    C)            \[\frac{1}{\sqrt{7}}\]                

    D)            \[\frac{{{x}^{2}}}{4}+{{y}^{2}}=1\]

    Correct Answer: A

    Solution :

               \[{{e}^{2}}=1-\frac{{{b}^{2}}}{{{a}^{2}}}\]Þ\[{{e}^{2}}=\frac{36}{64}\]Þ \[e=\frac{3}{4}\].


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