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

  • question_answer
    Two lines represented by equation \[{{x}^{2}}+xy+{{y}^{2}}=0\] are

    A)            Coincident                                 

    B)            Parallel

    C)            Mutually perpendicular            

    D)            Imaginary

    Correct Answer: D

    Solution :

    .          \[{{x}^{2}}+{{y}^{2}}+xy=0\Rightarrow (x-\omega y)(x-{{\omega }^{2}}y)=0\]                    \[1,\ \omega ,\ {{\omega }^{2}}\] are cube roots of unity. Hence the lines are imaginary.


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