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JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank Points related to triangle (Orthocente Circumcentre Incentre), Area of some geometrical figures Collinearity

  • question_answer
    If the vertices of a triangle be \[(a,\,b-c),\,(b,\,c-a)\] and \[(c,\,a-b)\], then the centroid of the triangle lies

    A) At origin

    B) On x-axis

    C) On y-axis

    D) None of these

    Correct Answer: B

    Solution :

    \[x=\frac{a+b+c}{3},\,\,y=\frac{b-c+c-a+a-b}{3}=0\] Hence, centroid lies on x-axis.


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