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JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank Transformation of axes and Locus

  • question_answer
    The locus of P such that area of \[\Delta PAB=12sq.\] units, where \[A(2,3)\] and \[B(-4,5)\] is  [EAMCET 1989]

    A) \[(x+3y-1)(x+3y-23)=0\]

    B) \[(x+3y+1)(x+3y-23)=0\]

    C) \[(3x+y-1)(3x+y-23)=0\]

    D) \[(3x+y+1)(3x+y+23)=0\]

    Correct Answer: B

    Solution :

    Let P be (x, y). \[\Delta =\pm \,12\] \[\Rightarrow \,\,x+3y+1=0\] and\[x+3y-23=0\].


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