JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Equation of Pair of Straight Lines

  • question_answer
    If the equation \[12{{x}^{2}}-10xy+2{{y}^{2}}+11x-5y+k=0\] represents two straight lines, then the value  of k is [MP PET 2003]

    A)            1    

    B)            2

    C)            0    

    D)            3

    Correct Answer: B

    Solution :

               Condition for pair of lines,                    \[abc+2fgh-a{{f}^{2}}-b{{g}^{2}}-c{{h}^{2}}=0\]                    Here, a = 12, h = ?5, b = 2, g = 11/2, f = ?5/2, c = k.                    On solving, \[k=2\].


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