question_answer

If \[\alpha \] and \[\beta \] are the zeros of the polynomial \[f(x)={{x}^{2}}+ax-b,\] then the polynomial having zeros\[\frac{1}{\alpha }\]and\[\frac{1}{\beta }\].

A)  \[ab{{x}^{2}}+bx-a\]

B)  \[b{{x}^{2}}-ax-1\]

C)  \[ab{{x}^{2}}-bx+a\]

D)  \[{{x}^{2}}+bx+a\]

E)  None of these