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

  • question_answer
    One of the lines represented by the equation \[{{x}^{2}}+6xy=0\] is

    A)            Parallel to x-axis                 

    B)            Parallel to y-axis

    C)            x-axis                                      

    D)            y-axis

    Correct Answer: D

    Solution :

               \[{{x}^{2}}+6xy=0\Rightarrow x(x+6y)=0\]                    \[\Rightarrow x=0\] and \[x+6y=0\] are two straight lines.                    Hence, \[x=0\] represents \[y-\]axis.


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