If \[\alpha \] and \[\beta \], \[\alpha \] and \[\gamma \], \[\alpha \] and \[\delta \] are the roots of the equations \[a{{x}^{2}}+2bx+c=0\], \[2b{{x}^{2}}+cx+a=0\] and \[c{{x}^{2}}+ax+2b=0\] respectively, where \[a,b\] and \[c\] are positive real numbers, then \[\alpha +{{\alpha }^{2}}\]= [Kerala (Engg.) 2005]

• A. -1
• B. 0
• C. abc
• D. \[a+2b+c\] 
• E.  abc