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JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank System of co-ordinates, Distance between two points, Section formulae

  • question_answer
    If the three vertices of a rectangle taken in order are the points (2, -2), (8, 4) and (5, 7). The coordinates of the fourth vertex is   [CEE 1993]

    A) (1, 1)

    B) (1, -1)

    C) (-1, 1)

    D) None of these

    Correct Answer: C

    Solution :

    Let fourth vertex be (x, y), then \[\frac{x+8}{2}=\frac{2+5}{2}\] and\[\frac{y+4}{2}=\frac{-2+7}{2}\,\,\Rightarrow \,\,x=-1,\,\,y=1\].


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