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# The shortest distance between the line

Question:

The shortest distance between the line $y=x$ and the curve $y^{2}=x-2$ is :

1. $\frac{7}{4 \sqrt{2}}$

2. $\frac{7}{8}$

3. $\frac{11}{4 \sqrt{2}}$

4. 2

Correct Option: 1

Solution: