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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The equation of the tangent to the parabola \[{{y}^{2}}=4x+5\] parallel to the line \[y=2x+7\] is     [MNR 1979]

    A)            \[2x-y-3=0\]                              

    B)            \[2x-y+3=0\]

    C)            \[2x+y+3=0\]                             

    D)            None of these

    Correct Answer: B

    Solution :

               Equation of parabola is \[{{Y}^{2}}=4X\], where \[X=x+\frac{5}{4}\]            Tangent parallel to \[Y=2X+7\]is \[Y=2X+\frac{a}{m}\]                    Þ \[y=2\left( x+\frac{5}{4} \right)+\frac{1}{2}\]Þ\[y=2x+3\] i.e., \[2x-y+3=0\].


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