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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 19

  • question_answer
    For a parabola passing through \[(1,2),\] \[(2,1),\]\[(3,4),\] and \[(4,3),\]the equation of axis of the parabola is

    A) \[x-y+3=0\]      

    B)        \[x-y=0\]          

    C) \[x+y-1=0\]       

    D)        line \[x+y=0\]

    Correct Answer: B

    Solution :

      [b] Line joining \[(1,\,\,2)\] and \[(2,\,\,1)\] and line joining \[(3,\,\,4)\] and \[(4,\,\,3)\] are parallel. Also, the perpendicular bisector of any two parallel chords is axis of parabola. Hence, axis of the parabola is\[x-y=0\].


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