Question:medium

Let \( f(x)=|x-\alpha|+|x-\beta| \), where \( \alpha,\beta \) are roots of \( x^2-3x+2=0 \). Then the number of points in \( [\alpha,\beta] \) at which \( f \) is not differentiable is:

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Sum of absolute values: \begin{itemize} \item Non-differentiable at each kink point. \item Count roots of inside expressions. \end{itemize}

Updated On: Mar 2, 2026

\( 2 \)
\( 0 \)
\( 1 \)
infinite

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The Correct Option is A

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