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

  • question_answer
    If a vertex of an equilateral triangle is on origin and second vertex is (4, 0), then its third vertex is

    A) \[(2,\,\pm \sqrt{3})\]

    B) \[(3,\,\pm \sqrt{2})\]

    C) \[(2,\,\pm 2\sqrt{3})\]

    D) \[(3,\,\pm 2\sqrt{2})\]

    Correct Answer: C

    Solution :

    By inspection i.e. length of the three sides must be equal. We find the required point\[(2,\,\,\pm \,2\sqrt{3})\].


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