Let $f(x)={{x}^{2}}-x+k-2,k\in R$ then the complete set of values of $k$ for which $y=\left| f\left( \left| x \right| \right) \right|$ is non-derivable at $5$ distinict points is
Let $f(x)={{x}^{2}}-x+k-2,k\in R$ then the complete set of values of $k$ for which $y=\left| f\left( \left| x \right| \right) \right|$ is non-derivable at $5$ distinict points is
- A
$(1,4)$
- B
$\left( 0,\frac{9}{4} \right)$
- C
$\left( -\infty ,2 \right)$
- D
$\left( 2,\frac{9}{4} \right)$
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