JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
     The line \[y=2x+c\] is tangent to the parabola \[{{y}^{2}}=4x\], then \[c=\]      [MP PET 1996]

    A)            \[-\frac{1}{2}\]                         

    B)            \[\frac{1}{2}\]

    C)            \[\frac{1}{3}\]                           

    D)            4

    Correct Answer: B

    Solution :

               \[\because \,\,c=\frac{a}{m},\,\therefore \,c=\frac{1}{2}\].


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