question_answer

If the sum of the roots of \[a{{x}^{2}}+2bx+3c=0\] is equal to the sum of the squares of their reciprocals, then \[9b{{c}^{2}}+2a{{b}^{2}}\]

A)  \[18\,abc\]                    

B)  \[3{{a}^{2}}c\]

C)  \[ab+bc+2ca\] 

D)  \[18{{a}^{2}}c+7{{b}^{3}}\]