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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 equation of second degree \[{{x}^{2}}+2\sqrt{2}xy+2{{y}^{2}}+4x+4\sqrt{2}y+1=0\] represents a pair of straight lines. The distance between them is  [MNR 1984; UPSEAT 2000]

    A)            4    

    B)            \[4/\sqrt{3}\]

    C)            2    

    D)            \[2\sqrt{3}\]

    Correct Answer: C

    Solution :

               Distance \[=2\sqrt{\frac{{{g}^{2}}-ac}{a(a+b)}}=2\sqrt{\frac{4-1}{1(1+2)}}=2\].


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