A) \[(1,4)\]
B) \[(1,1)\]
C) \[(4,4)\]
D) \[(4,1)\]
Correct Answer: D
Solution :
[d] Let fourth vertex be \[(x,y)\]. |
Mid-points of diagonals coincide. |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,(3,-2)=\left( \frac{2+x}{2},\frac{-5+x}{2} \right)\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,3=\frac{2+x}{2}\] and \[-2=\frac{-5+y}{2}\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,x=4,\,\,\,\,y=1\] |
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