question_answer

If \[\alpha \] and \[\beta \] are the roots of the equation\[4{{y}^{2}}-8y+12=0\], then the value of\[{{(4\alpha -8)}^{-2}}+{{(4\beta -8)}^{-2}}\] is given by:

A)  \[\frac{9}{52}\]                        

B)  \[0\]

C)  \[-\frac{1}{72}\]           

D)  \[1\]

E)  None of these