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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    If the equation\[2{{x}^{2}}+7xy+3{{y}^{2}}-9x-7y\]\[+k=\]\[0\]represents a pair of lines, then k is equal to:

    A)  4                                            

    B)         2

    C)         1                                            

    D)        \[-4\]

    E)         none of these

    Correct Answer: A

    Solution :

    In given equation \[a=2,g=-\frac{9}{2},f=-\frac{7}{2},h=\frac{7}{2},b=3,c=k\] The given line represents a pair of lines, if \[abc+2fgh-a{{f}^{2}}-b{{g}^{2}}-c{{h}^{2}}=0\] \[\Rightarrow \] \[6k+\frac{441}{4}-\frac{98}{4}-\frac{243}{4}-\frac{49k}{4}=0\] \[\Rightarrow \]               \[k=4\]


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