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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 \[(a,\,1),\ (b,\,3)\]and \[(4,\,c),\]then the centroid of the triangle will lie on x-axis, if

    A) \[a+c=-4\]

    B) \[a+b=-4\]

    C) \[c=-4\]

    D) \[b+c=-4\]

    Correct Answer: C

    Solution :

    The point lies on axis of x, if \[y=0.\] Therefore,\[\frac{1+3+c}{3}=0\,\,\Rightarrow \,\,c=-4\]


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