A) \[\left( 4,\text{ }3 \right)\]
B) \[(-\,3,4)\]
C) \[(3,\,-4)\]
D) \[\left( 4,\text{ }3 \right)\]
Correct Answer: D
Solution :
(d): Co-ordinates of the mid-point of AC = Co-ordinates of the mid-point of BD: \[\Rightarrow \]\[(1,2)=\left( \frac{6+X}{2}\text{, }\frac{2+y}{2} \right)\] \[\Rightarrow \]\[\left( \frac{-2+4}{2},\frac{0+4}{2} \right)=\left( \frac{6+X}{2}\text{, }\frac{2+y}{2} \right)\] \[\Rightarrow \]\[\frac{6+x}{2}=1\] and \[\frac{y+2}{2}=2\]. \[\Rightarrow \] \[x=-4\] and \[y=3\] Hence, the fourth vertex of the parallelogram is\[\left( -4,\text{ }3 \right)\].You need to login to perform this action.
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