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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

  • question_answer
    Three vertices of a parallelogram are\[A(-1,-2),\]\[B(1,0)\]and\[C(3,4),\]then the fourth vertex is

    A)  (1, 2)            

    B) \[(-3,-4)\]

    C)  (2, 0)             

    D) \[(-1,2)\]

    Correct Answer: A

    Solution :

     Three vertices of the parallelogram are \[A(-1,-2),B(1,0),C(3,4)\] Let the fourth vertex be \[D(x,y)\] We know that, diagonals of parallelogram cut each other at mid point. \[\therefore \] \[\frac{-1+3}{2}=\frac{1+x}{2}\] \[\Rightarrow \] \[x=2-1\] \[\Rightarrow \] \[x=1\] and        \[\frac{-2+4}{2}=\frac{0+y}{2}\] \[\Rightarrow \] \[y=2\] Hence, the fourth vertex is (1, 2).


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