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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    If\[A(3,5),\text{ }B(-5,-4),C(7,10)\]are the vertices of a parallelogram, taken in the order, then the co-ordinates of the fourth vertex are:

    A)  (10, 19)               

    B)         (15, 10)

    C)  (19, 10)               

    D)         (19, 15)

    E)  (15, 19)

    Correct Answer: E

    Solution :

    Let co-ordinate of fourth vertex is\[(x,\text{ }y)\]. \[\therefore \]  \[\frac{x-5}{2}=\frac{7+3}{2}\] \[\Rightarrow \]               \[x=15\] and        \[\frac{y-4}{2}=\frac{10+5}{2}\] \[\Rightarrow \]               \[y=19\] \[\therefore \]Co-ordinate of fourth vertex is (15, 19).


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