A) \[\frac{7}{2}\]
B) \[\frac{5}{2}\]
C) \[\frac{3}{2}\]
D) \[\frac{3}{4}\]
Correct Answer: D
Solution :
Let co-ordinates of vertices \[=(a,\,1),\,\,(b,\,2),\,\,(c,\,4)\] \[a=\frac{1}{4},\]\[b=1,\,\,c=4\]. Area of triangle formed by \[\left( \frac{1}{4},\,1 \right)\,,\,\,(1,\,2),\,\,(4,\,4)\] is \[\frac{1}{2}\left| \begin{matrix} 1/4 & 1 & 1 \\ 1 & 2 & 1 \\ 4 & 4 & 1 \\ \end{matrix} \right|=\frac{3}{4}\].
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