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

  • question_answer
    The equation \[{{x}^{2}}-7xy+12{{y}^{2}}=0\] represents [BIT Ranchi 1991]

    A)            Circle

    B)            Pair of parallel straight lines

    C)            Pair of perpendicular straight lines

    D)            Pair of non-perpendicular intersecting straight lines

    Correct Answer: D

    Solution :

               \[{{x}^{2}}-7xy+12{{y}^{2}}=0\Rightarrow (x-3y)(x-4y)=0\]                    Hence, the lines are non-perpendicular intersecting.


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