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JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank Critical Thinking

  • question_answer
    If the coordinates of the vertices of a triangle be (1,a), (2,b) and \[({{c}^{2}},3)\], then the centroid of the triangle

    A) Lies at the origin

    B) Cannot lie on x-axis

    C) Cannot lie on y-axis

    D) None of these

    Correct Answer: C

    Solution :

    Centroid is \[\left( \frac{1+2+{{c}^{2}}}{3},\,\frac{a+b+3}{3} \right)\] Now on y-axis \[x=0;\,\,\Rightarrow \,\,\frac{3+{{c}^{2}}}{3}=0\,\,\Rightarrow \,\,{{c}^{2}}=-3\], which is impossible. Hence it cannot lie on y-axis.


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