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

  • question_answer
    Which of the following second degree equation represented a pair of straight lines                                         [MP PET 1990]

    A)            \[{{x}^{2}}-xy-{{y}^{2}}=1\]   

    B)            \[-{{x}^{2}}+xy-{{y}^{2}}=1\]

    C)            \[4{{x}^{2}}-4xy+{{y}^{2}}=4\]                                         

    D)            \[{{x}^{2}}+{{y}^{2}}=4\]

    Correct Answer: C

    Solution :

               We have to check for each equation separately. Option (d) cannot be because it is a circle.                    Considering option (a)\[\Delta \ne 0,\ \]option (b)\[\Delta \ne 0\]and for option (c)\[\Delta =0\].


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