Solved papers for JEE Main & Advanced AIEEE Solved Paper-2005

done AIEEE Solved Paper-2005 Total Questions - 3

• question_answer1) 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
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• question_answer2) The system of equations \[\alpha x+y+z=\alpha -1,x+\alpha \,y+z=\alpha -l\] \[x+y+\alpha z=\alpha -1\]has no solution, if \[\alpha \] is     AIEEE  Solved  Paper-2005
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• question_answer3) If\[{{a}_{1}},{{a}_{2}},{{a}_{3}},....,{{a}_{n}},....\]are in GP, then the determinant \[\Delta =\left| \begin{matrix}    \log {{a}_{n}} & \log {{a}_{n+1}} & \log {{a}_{n+2}}  \\    \log {{a}_{n+3}} & \log {{a}_{n+4}} & \log {{a}_{n+5}}  \\    \log {{a}_{n+6}} & \log {{a}_{n+7}} & {{\log }_{n+8}}  \\ \end{matrix} \right|\]is equal to     AIEEE  Solved  Paper-2005
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