A) \[a(b+c)=0\]
B) \[b(c+a)=0\]
C) \[c(a+b)=0\]
D) \[a+b+c=0\]
Correct Answer: C
Solution :
\[ab(0)+2\left( \frac{c}{2} \right)\text{ }\left( \frac{c}{2} \right)\text{ }(0)-a\text{ }{{\left( \frac{c}{2} \right)}^{2}}-b\text{ }{{\left( \frac{c}{2} \right)}^{2}}-0{{(0)}^{2}}=0\] \[\Rightarrow a{{c}^{2}}+b{{c}^{2}}=0\ \ \Rightarrow \,{{c}^{2}}(a+b)=0\]\[\Rightarrow c(a+b)=0\].
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