question_answer

If\[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=-2\]and \[f(x)=\left| \begin{matrix}    1+{{a}^{2}}x & (1+{{b}^{2}})x & (1+{{c}^{2}})x  \\    {{(1+a)}^{2}}x & 1+{{b}^{2}}x & (1+{{c}^{2}})x  \\    (1+{{a}^{2}})x & (1+{{b}^{2}})x & 1+{{c}^{2}}x  \\ \end{matrix} \right|,\] then\[f(x)\]is a polynomial of degree     AIEEE  Solved  Paper-2005

A) 2             

B)        3             

C)        0             

D)        1

Correct Answer: A

Solution :

Given, Applying Applying is of degree 2.