Find the discriminant of the following quadratic equation and hence determine the nature of the roots of the equation: $\frac{1}{4} x^{2} - 2x + 1 = 0$.

• A
  Discriminant = $4$,Roots are real and distinct
• B
  Discriminant = $0$,Roots are real and equal
• C
  Discriminant = $-4$,Roots are not real
• D
  Discriminant = $1$,Roots are real and distinct