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JEE Math Practice Question

The absolute minimum value, of the function $f(x)=\left|x^{2}-x+1\right|+\left[x^{2}-x+1\right]$, where $[t]$ denotes the greatest integer function, in the interval $[-1,2]$, is :

  1. A.$\frac{3}{4}$
  2. B.$\frac{3}{2}$
  3. C.$\frac{1}{4}$
  4. D.$\frac{5}{4}$

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