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

  • question_answer
    If in general quadratic equation \[f(x,\,y)=0\], \[\Delta =0\] and \[{{h}^{2}}=ab\], then the equation represents

    A)            Two parallel straight lines

    B)            Two perpendicular straight lines

    C)            Two coincident lines

    D)            None of these

    Correct Answer: A

    Solution :

               \[f(x,y)=0\] gives us an equation \[\Delta =0\]gives us a pair of straight lines. \[{{h}^{2}}=ab\] gives angle between them equal to zero. Hence equation represents two parallel lines.


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