A) 36 sq units
B) 37 sq units
C) 38 sq units
D) None of these
Correct Answer: D
Solution :
[d] Here \[{{x}_{1}}=4,\]\[{{x}_{2}}=3,\]\[{{x}_{3}}=-\,3,\]\[{{y}_{1}}=4,\]\[{{y}_{2}}=-2\]and \[{{y}_{3}}=16.\] \[\Delta =\frac{1}{2}\{{{x}_{1}}({{y}_{2}}-{{y}_{3}})+{{x}_{2}}({{y}_{3}}-{{y}_{1}})+{{x}_{3}}({{y}_{1}}-{{y}_{2}})\}\] \[=\frac{1}{2}\{4\,(-2-16)+3\,(16-4)-3\,(4+2)\}\] \[\frac{1}{2}\left| \{-72+36-18\} \right|=27\,\]sq unite |
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