JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The line \[y=mx+1\] is a tangent to the parabola \[{{y}^{2}}=4x\], if [MNR 1990; Kurukshetra CEE 1998; DCE 2000; Pb. CET 2004]

    A)            \[m=1\]                                     

    B)            \[m=2\]

    C)            \[m=4\]                                     

    D)            \[m=3\]

    Correct Answer: A

    Solution :

               From condition for tangent to a parabola,             \[1=\frac{1}{m}\]Þ \[m=1\].


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