Find the discriminant of the following quadratic equation and hence determine the nature of the roots of the equation: $\frac{1}{4} x^{2} - 2x + 1 = 0$.
- ADiscriminant = $4$,Roots are real and distinct
- BDiscriminant = $0$,Roots are real and equal
- CDiscriminant = $-4$,Roots are not real
- DDiscriminant = $1$,Roots are real and distinct
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