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JEE Main & Advanced Mathematics Conic Sections Question Bank Hyperbola

  • question_answer
    If \[5{{x}^{2}}+\lambda {{y}^{2}}=20\] represents a rectangular hyperbola, then \[\lambda \] equals

    A)            5     

    B)            4

    C)            ?5   

    D)            None of these

    Correct Answer: C

    Solution :

               Since the general equation of second degree represents a rectangular hyperbola, if \[\Delta \ne 0,\,\,{{h}^{2}}>ab\] and coefficient of \[{{x}^{2}}+\]coefficient of\[{{y}^{2}}=0\]. Therefore the given equation represents a rectangular hyperbola, if \[\lambda +5=0\] i.e., \[\,\lambda =-5\].


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