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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2004

  • question_answer
    The   latus   rectum   of   the   ellipse \[9{{x}^{2}}+16{{y}^{2}}=144\]is:

    A)  \[4\]                                    

    B)  \[\frac{11}{4}\]

    C)  \[\frac{7}{2}\]                  

    D)         \[\frac{9}{2}\]

    E)  \[\frac{10}{3}\]

    Correct Answer: D

    Solution :

    The given equation of ellipse can be rewritten as \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{9}=1\] Here, \[a=4,\text{ }b=3.\] \[\therefore \]Length of latus rectum \[=\frac{2{{b}^{2}}}{a}=\frac{2\times 9}{4}=\frac{9}{2}\]


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