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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
    The centroid of a triangle, whose vertices are (2,1), (5,2) and (3,4), is    [IIT 1964]

    A) \[\left( \frac{8}{3},\frac{7}{3} \right)\]

    B) \[\left( \frac{10}{3},\frac{7}{3} \right)\]

    C) \[\left( -\frac{10}{3},\frac{7}{3} \right)\]

    D) \[\left( \frac{10}{3},-\frac{7}{3} \right)\]

    Correct Answer: B

    Solution :

    \[x=\frac{2+5+3}{3}=\frac{10}{3}\] and \[y=\frac{1+2+4}{3}=\frac{7}{3}\].


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