JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Bisectors of the angle between the lines, Point of intersection of the lines

  • question_answer If the bisectors of the angles of the lines represented by \[3{{x}^{2}}-4xy+5{{y}^{2}}=0\] and \[5{{x}^{2}}+4xy+3{{y}^{2}}=0\] are same, then the angle made by the lines represented by first with the second, is

    A)            \[{{30}^{o}}\]                       

    B)            \[{{60}^{o}}\]

    C)            \[{{45}^{o}}\]                       

    D)            \[{{90}^{o}}\]

    Correct Answer: D

    Solution :

               Here both the equations are perpendicular to each other. So, under the given condition it is clear that angle is\[90{}^\circ \].


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