J & K CET Engineering J and K - CET Engineering Solved Paper-2004

  • question_answer
    If a point \[(a{{t}^{2}},\,\,2at)\] be the extremity of a focal Chord of parabola \[{{y}^{2}}=4ax,\] then the length of the focal chord is

    A)  \[a{{\left( t+\frac{1}{t} \right)}^{2}}\]

    B)  \[a{{\left( t+\frac{2}{t} \right)}^{3}}\]

    C)  \[a{{\left( t+\frac{1}{t} \right)}^{3}}\]

    D)  None of these

    Correct Answer: A

    Solution :

    If one en(! of a focal chord is \[(a{{t}^{2}},\,2at),\] then length of focal chord \[=a{{({{t}_{1}}-t)}^{2}}\]where \[{{t}_{1}}t=-1\] \[=a{{\left( -\frac{1}{t}-t \right)}^{2}}\] \[=a{{\left( t+\frac{1}{t} \right)}^{2}}\]


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