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

  • question_answer
    The equation to the pair  of straight lines through the origin which are perpendicular to the lines \[2{{x}^{2}}-5xy+{{y}^{2}}=0,\]is [MP PET 1990]

    A)            \[2{{x}^{2}}+5xy+{{y}^{2}}=0\]                                        

    B)            \[{{x}^{2}}+2{{y}^{2}}+5xy=0\]

    C)            \[{{x}^{2}}-5xy+2{{y}^{2}}=0\]                                         

    D)            \[2{{x}^{2}}+{{y}^{2}}-5xy=0\]

    Correct Answer: B

    Solution :

               In this case coefficient of \[{{x}^{2}}\]and \[{{y}^{2}}\]are inter-changed and sign of h is changed.


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