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

  • question_answer
    The pair of straight lines passes through the point (1, 2) and perpendicular to the pair of straight lines \[3{{x}^{2}}-8xy+5{{y}^{2}}=0\], is

    A)            \[(5x+3y+11)(x+y+3)=0\]

    B)            \[(5x+3y-11)(x+y-3)=0\]

    C)            \[(3x+5y-11)(x+y+3)=0\]

    D)            \[(3x-5y+11)(x+y-3)=0\]

    Correct Answer: B

    Solution :

               The equation of lines represented by the equation \[3{{x}^{2}}-8xy+5{{y}^{2}}=0\] are \[3x-5y=0\] and \[x-y=0.\]Therefore, equation of lines passing through (1, 2) and perpendicular to given lines are \[x+y-3=0\] and \[5x+3y-11=0\].


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