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J & K CET Engineering J and K - CET Engineering Solved Paper-2009

  • question_answer
    If \[x+y=k\]is a tangent to the parabola \[{{y}^{2}}=12x,\]then k is equal to

    A)  \[9\]               

    B)  \[-9\]

    C)  \[3\]               

    D)  \[-3\]

    Correct Answer: D

    Solution :

    If \[x+y=k\Rightarrow y=-x+k\] is a tangent to the parabola \[{{y}^{2}}=12x,\] then \[k=\frac{3}{-1}=-3\] \[\left[ \because \,\,\,c=\frac{a}{m} \right]\]


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