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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The straight line \[y=2x+\lambda \] does not meet the parabola \[{{y}^{2}}=2x\], if         [MP PET 1993; MNR 1977]

    A)            \[\lambda <\frac{1}{4}\]          

    B)            \[\lambda >\frac{1}{4}\]

    C)            \[\lambda =4\]                         

    D)            \[\lambda =1\]

    Correct Answer: B

    Solution :

               \[y=2x+\lambda \]does not meet, if \[\lambda >\frac{a}{m}=\frac{1}{2.2}=\frac{1}{4}\]Þ \[\lambda >\frac{1}{4}\].


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