A) Rectangle
B) Parallelogram
C) Trapezium
D) None of these
Correct Answer: C
Solution :
Let \[A\equiv (1,\,1,-1),B\equiv (2,\,3,\,0),C\equiv (3,\,5,\,-2),\,D\equiv (0,\,-1,\,1)\] So, \[\overrightarrow{AB}=(1,\,2,\,1),\overrightarrow{BC}=(1,\,2,-2),\overrightarrow{CD}=(-3,-6,\,3),\overrightarrow{DA}=(1,\,2,\,-2)\] Clearly, \[\overrightarrow{BC}||\overrightarrow{DA},\]but \[AB\ne CD\]So, it is a trapezium.You need to login to perform this action.
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