A) \[1\]
B) \[2\]
C) \[3\]
D) \[4\]
Correct Answer: C
Solution :
The condition for common roots gives \[{{(bc-{{a}^{2}})}^{2}}={{(ca-b)}^{2}}(ab-{{c}^{2}})\] \[\Rightarrow \]\[{{b}^{2}}{{c}^{2}}+{{a}^{4}}-2{{a}^{2}}bc={{a}^{2}}bc-{{c}^{3}}a-{{b}^{3}}a+{{b}^{2}}{{c}^{2}}\] \[\Rightarrow \] \[{{a}^{4}}+{{c}^{3}}a+{{b}^{2}}a=3{{a}^{2}}bc\] \[\Rightarrow \] \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}=3abc\]You need to login to perform this action.
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