JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Equation of lines joining the origin to the point of intersection of a curve and a line and Distance between the pair of lines

  • question_answer
    The lines joining the origin to the points of intersection of the line \[3x-2y=1\] and the curve \[3{{x}^{2}}+5xy-3{{y}^{2}}+2x+3y=0\], are

    A)            Parallel to each other       

    B)            Perpendicular to each other

    C)            Inclined at \[{{45}^{o}}\]to each other

    D)            None of these

    Correct Answer: B

    Solution :

               Making the given equation homogeneous with the help of equation of line, we get\[9{{x}^{2}}+10xy-9{{y}^{2}}=0\].            Hence the lines are perpendicular.


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