JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    If the eccentricity of an ellipse be \[1/\sqrt{2}\], then its latus rectum is equal to its

    A)            Minor axis                                 

    B)            Semi-minor axis

    C)            Major axis                                 

    D)            Semi-major axis

    Correct Answer: D

    Solution :

               \[e=\frac{1}{\sqrt{2}}\]; Latus rectum \[=\frac{2{{b}^{2}}}{a}=\frac{2{{a}^{2}}}{a}\left( 1-\frac{1}{2} \right)=a\]                    i.e., semi-major axis.


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