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

  • question_answer
    If the point (x, - 1), (3, y), (- 2, 3) and (- 3, - 2) be the vertices of a parallelogram, then

    A) \[x=2,\,y=4\]

    B) \[x=1,\,y=2\]

    C) \[x=4,\,y=2\]

    D) None of these

    Correct Answer: A

    Solution :

    Mid-points of the diagonals must be same. \[\Rightarrow \,\,\frac{x-2}{2}=\frac{-3+3}{2}\,\,\Rightarrow \,\,x=2\] and \[\frac{-1+3}{2}=\frac{-2+y}{2}\,\,\Rightarrow \,\,y=4\].


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