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JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    For the ellipse \[3{{x}^{2}}+4{{y}^{2}}=12\], the length of latus rectum is          [MNR 1973]

    A)            \[\frac{3}{2}\]                           

    B)            3

    C)            \[\frac{8}{3}\]                           

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

    Correct Answer: B

    Solution :

               \[\frac{{{x}^{2}}}{4}+\frac{{{y}^{2}}}{3}=1.\]Latus rectum \[=\frac{2{{b}^{2}}}{a}=3\].


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