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 distance between the parallel lines \[9{{x}^{2}}-6xy+{{y}^{2}}+18x-6y+8=0\] is          [EAMCET 1994]

    A)            \[1/\sqrt{10}\]                    

    B)            \[2/\sqrt{10}\]

    C)            \[4/\sqrt{10}\]                    

    D)            \[\sqrt{10}\]

    Correct Answer: B

    Solution :

               Distance\[=2\sqrt{\frac{{{g}^{2}}-ac}{a(a+b)}}=\frac{2}{\sqrt{10}}\].


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