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JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    If the foci and vertices of an ellipse be \[(\pm 1,\ 0)\] and \[(\pm 2,\ 0)\], then the minor axis of the ellipse is

    A)            \[2\sqrt{5}\]                             

    B)            2

    C)            4     

    D)            \[2\sqrt{3}\]

    Correct Answer: D

    Solution :

               \[ae=1\], \[a=2\], \[e=\frac{1}{2}\] Þ \[b=\sqrt{4\left( 1-\frac{1}{4} \right)}=\sqrt{3}\]                    Hence minor axis\[=2\sqrt{3}\].


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