1.

If the roots of the equation \[a{{x}^{2}}-bx+c=0\] are \[\alpha ,\beta \] then the roots of the equation \[{{b}^{2}}c{{x}^{2}}-a{{b}^{2}}x+{{a}^{3}}=0\] are

A. \[\frac{1}{{{\alpha }^{3}}+\alpha \beta },\frac{1}{{{\beta }^{3}}+\alpha \beta }\]
B. \[\frac{1}{{{\alpha }^{2}}+\alpha \beta },\frac{1}{{{\beta }^{2}}+\alpha \beta }\]
C. \[\frac{1}{{{\alpha }^{4}}+\alpha \beta },\frac{1}{{{\beta }^{4}}+\alpha \beta }\]
D. None of these
Answer» C. \[\frac{1}{{{\alpha }^{4}}+\alpha \beta },\frac{1}{{{\beta }^{4}}+\alpha \beta }\]


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