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JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    The length of the latus rectum of the ellipse \[\frac{{{x}^{2}}}{36}+\frac{{{y}^{2}}}{49}=1\] [Karnataka CET 1993]

    A)            98/6                                          

    B)            72/7

    C)            72/14                                        

    D)            98/12

    Correct Answer: B

    Solution :

               Here \[{{a}^{2}}=36\], \[{{b}^{2}}=49\]. Since \[b>a\], so the length of the latus rectum \[=\frac{2{{a}^{2}}}{b}=2\times \frac{36}{7}=\frac{72}{7}\].


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