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

  • question_answer
    The centroid of a triangle is (2, 7) and two of its vertices are (4, 8) and (-2, 6). The third vertex is [Kerala (Engg.)  2002]

    A) (0, 0)

    B) (4, 7)

    C) (7, 4)

    D) (7, 7)

    Correct Answer: B

    Solution :

    Let the third vertex be (x, y), then \[\frac{x+4+(-2)}{3}=\]2  \[\Rightarrow \,\,x=4\] \[\frac{y+8+6}{3}=7\]    \[\Rightarrow \,\,y=7\] \[\therefore \] Third vertex (x, y) is (4, 7).


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