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JEE Main & Advanced Mathematics Straight Line Question Bank Slope of line, Equation of line in different forms

  • question_answer
    If \[a+b+c=0\] and \[p\ne 0,\] the lines \[ax+(b+c)y=p,\]  \[bx+(c+a)y=p\] and \[cx+(a+b)y=p\]

    A)            Do not intersect                       

    B)            Intersect

    C)            Are concurrent                         

    D)            None of these

    Correct Answer: A

    Solution :

               By the help of given condition of\[a+b+c=0\], the three lines reduce to \[x-y=\frac{p}{a}\] or\[\frac{p}{b}\text{or}\frac{p}{c}(p\ne 0)\]. All these lines are parallel. Hence they do not intersect in finite plane.


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