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

  • question_answer
    If the points (1,1), (-1, -1) and \[(-\sqrt{3},k)\]are vertices of an equilateral triangle then the value of k will be

    A) 1

    B) -1

    C) \[\sqrt{3}\]

    D) \[-\sqrt{3}\]

    Correct Answer: C

    Solution :

      \[{{l}^{2}}={{2}^{2}}+{{2}^{2}}=8={{(\sqrt{3}+1)}^{2}}+{{(k-1)}^{2}}\,\,\Rightarrow \,\,k=\sqrt{3}\].


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