JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    If the distance between the foci of an ellipse be equal to its minor axis, then its eccentricity is

    A)            1/2 

    B)            \[1/\sqrt{2}\]

    C)            1/3 

    D)            \[1/\sqrt{3}\]

    Correct Answer: B

    Solution :

               Foci are \[(\pm ae,0)\]. Therefore according to the condition, \[2ae=2b\]or \[ae=b\]            Also, \[{{b}^{2}}={{a}^{2}}(1-{{e}^{2}})\]Þ \[{{e}^{2}}=(1-{{e}^{2}})\]Þ \[e=\frac{1}{\sqrt{2}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner