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The absolute minimum value, of the function \(f(x)=\left|x^2-x+1\right|\) \(+\left[x^2-x+1\right]\), where \([t]\) denot…

Q1

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:

[JEE Main 2023, 30 Jan (Shift 2)]

a

\(\frac{3}{4}\)

b

\(\frac{3}{2}\)

c

\(\frac{1}{4}\)

d

\(\frac{5}{4}\)

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