JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    If the eccentricity of an ellipse be 5/8 and the distance between its foci be 10, then its latus rectum is

    A)            39/4                                          

    B)            12

    C)            15   

    D)            37/2

    Correct Answer: A

    Solution :

               \[a=\frac{10}{\frac{2.5}{8}}=8\], \[b=8\sqrt{1-\frac{25}{64}}=8\frac{\sqrt{39}}{8}\]            Latus rectum\[=\frac{2{{b}^{2}}}{a}=\frac{2\times 39}{8}=\frac{39}{4}\].


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