11th Class
Mathematics
Sample Paper
Mathematics Olympiad - Sample Paper-12
question_answer
If \[\alpha ,\beta ,\gamma \] are the roots of \[{{x}^{3}}-3{{x}^{2}}+3x+7=0\] (\[\omega \] is the cube root of unity), then\[\frac{\alpha -1}{\beta -1}+\frac{\beta -1}{\gamma -1}\]\[+\frac{\gamma -1}{\alpha -1}\] is