A) Not
B) Yes
C) Both
D) None of these
Correct Answer: A
Solution :
Area of triangle \[=\frac{1}{2}({{x}_{1}}{{y}_{2}}+{{x}_{2}}{{y}_{3}}+{{x}_{3}}{{y}_{1}})-({{y}_{1}}{{x}_{2}}+{{y}_{2}}{{x}_{3}}+{{y}_{3}}{{x}_{1}})\] \[=\frac{1}{2}[(0\times -9+0)\times 6+3\times 5]-[5\times 0+(-9)\times 3+6\times 0]\]\[=\frac{1}{2}[0+0+15]-[0+(-27)+0]\] \[=\frac{1}{2}(15+27)=\frac{1}{2}\times 42=21\ne 0\]
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