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

  • question_answer
    The equation \[2{{y}^{2}}-xy-{{x}^{2}}+6x-8=0\] represents [MP PET 1992]

    A)            A pair of straight lines      

    B)            A circle

    C)            An ellipse                              

    D)            A parabola

    Correct Answer: A

    Solution :

               Using condition \[\Delta =0\], i.e.,                     \[(-1)\,(2)\,(-8)+0-0-2{{(3)}^{2}}-(-8)\,{{\left( \frac{-1}{2} \right)}^{2}}=16-18+2=0\].                    Hence, equation represents a pair of straight lines.


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