JEE Main & Advanced Mathematics Straight Line Question Bank Critical Thinking

  • question_answer The equation of the line joining the point (3, 5)to the point of intersection of the lines \[4x+y-1=0\] and \[7x-3y-35=0\] is equidistant from the points (0, 0) and   (8, 34)                                                                 [Roorkee 1984]

    A)            True                                           

    B)            False

    C)            Nothing can be said                  

    D)            None of these

    Correct Answer: A

    Solution :

               By \[P+\lambda Q=0\], the required line is \[12x-y-31=0\] and its distance from both the points is \[\frac{31}{\sqrt{145}}\].

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