# CAT 2017 Set-1 | Question: 96

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The shortest distance of the point $\left ( \frac{1}{2}, 1 \right )$ from the curve $y=\mid x-1 \mid+\mid x+1 \mid$ is

1. $1$
2. $0$
3. $\sqrt{2}$
4. $\sqrt{\dfrac{3}{2}}$

point (1/2,1) x lies in between [-1,1]

so equation becomes y=2 distance will be 1 unit

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