CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2008

  • question_answer
    The tangents drawn at the extremities of a focal chord of the parabola \[{{y}^{2}}=16x\]

    A)  intersect on \[x=0\]

    B)  intersect on the line \[x+4=0\]

    C)  intersect at an angle of \[{{60}^{o}}\]

    D)  intersect at an angle of \[{{45}^{o}}\]

    Correct Answer: B

    Solution :

    Given equation is \[{{y}^{2}}=16x\] Here,             \[a=4\] As we know, that if tangents are drawn from an external points of a focal chord, then it will intersect on the directrix of the parabola. \[\therefore \] Equation of directrix is                                 \[x=-4\] or                            \[x+4=0\] Which is the required equation.


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