JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    If the length of the major axis of an ellipse is three times the length of its minor axis, then its eccentricity is   [EAMCET 1990]

    A)            \[\frac{1}{3}\]                           

    B)            \[\frac{1}{\sqrt{3}}\]

    C)            \[\frac{1}{\sqrt{2}}\]                

    D)            \[\frac{2\sqrt{2}}{3}\]

    Correct Answer: D

    Solution :

               Major axis = 3(Minor axis)                    Þ \[2a=3(2b)\]Þ \[{{a}^{2}}=9{{b}^{2}}=9{{a}^{2}}(1-{{e}^{2}})\]Þ\[e=\frac{2\sqrt{2}}{3}\].


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