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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
    Two vertices of a triangle are (5, 4) and (-2, 4). If its centroid is (5, 6) then the third vertex has the coordinates  [MP PET 1993]

    A) (12, 10)

    B) (10, 12)

    C) (-10, 12)

    D) (12, -10)

    Correct Answer: A

    Solution :

    Let the third vertex be (x, y), then \[5=\frac{x+5-2}{3}\,\,\Rightarrow \,\,x=12\]and \[6=\frac{y+4+4}{3}\,\,\Rightarrow \,\,y=10\].


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