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

  • question_answer
    If the equation \[A{{x}^{2}}+2Bxy+C{{y}^{2}}+Dx+Ey+F=0\] represents a pair of straight lines, then \[{{B}^{2}}-AC\] [MP PET 1992]

    A)            < 0 

    B)            = 0

    C)            > 0 

    D)            None of these

    Correct Answer: D

    Solution :

               Using the condition\[\Delta =0\]                    \[\Rightarrow ACF+2.\frac{E}{2}.\frac{D}{2}.B-A.{{\left( \frac{E}{2} \right)}^{2}}-C\,.\,{{\left( \frac{D}{2} \right)}^{2}}-F.{{(B)}^{2}}=0\].


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