JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank System of co-ordinates, Distance between two points, Section formulae

  • question_answer
    A point equidistant from the points (2, 0) and (0, 2) is

    A) (1, 4)

    B) (2, 1)

    C) (1, 2)

    D) (2, 2)

    Correct Answer: D

    Solution :

    \[{{(x-2)}^{2}}+{{y}^{2}}={{x}^{2}}+{{(y-2)}^{2}}\,\,\Rightarrow \,\,(x,\,\,y)=(2,\,\,2)\] Trick: Check with option. Obviously, the point (2, 2) is equidistant from the points (2, 0) and (0, 2).


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