A) 14
B) 16
C) 15
D) None of these
Correct Answer: A
Solution :
Area of triangle \[=\frac{1}{2}\,\left| \,\begin{matrix} {{x}_{1}} & {{y}_{1}} & 1 \\ {{x}_{2}} & {{y}_{2}} & 1 \\ {{x}_{3}} & {{y}_{3}} & 1 \\ \end{matrix}\, \right|\]\[=\frac{1}{2}\,\left| \,\begin{matrix} -4 & 1 & 1 \\ 1 & 2 & 1 \\ 4 & -3 & 1 \\ \end{matrix}\, \right|\,\] = \[\frac{1}{2}[-4\,(2+3)-1\,(1-4)+1\,(-3-8)\] \[=\frac{1}{2}\,|\,-28|=14\] units.You need to login to perform this action.
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