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GATE Mechanical 2021 Set 1 | Question: 34

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Let $f\left ( x \right )=x^{2}-2x+2$ be a continuous function defined on $x \in \left [ 1,3 \right ]$. The point $x$ at which the tangent of $f\left ( x \right )$ becomes parallel to the straight line joining $f\left ( 1 \right )$ and $f\left ( 3 \right )$ is

  1. $0$
  2. $1$
  3. $2$
  4. $3$
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