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JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    The length of the latus rectum of the ellipse \[5{{x}^{2}}+9{{y}^{2}}=45\] is      [MNR 1978, 80, 81]

    A)            \[\sqrt{5}/4\]                            

    B)            \[\sqrt{5}/2\]

    C)            5/3 

    D)            10/3

    Correct Answer: D

    Solution :

               Here the ellipse is \[\frac{{{x}^{2}}}{9}+\frac{{{y}^{2}}}{5}=1\].            Latus rectum \[=\frac{2{{b}^{2}}}{a}\]\[=\frac{2\cdot 5}{3}=\frac{10}{3}\].


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