The minimum distance between \( y-x=1 \) and \( y^{2}=x \) is (a) \( \frac{3}{4 \sqrt{2}} \) (b)...

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The minimum distance between \( y-x=1 \) and \( y^{2}=x \) is
(a) \( \frac{3}{4 \sqrt{2}} \)
(b) \( \frac{3}{2 \sqrt{2}} \)
(c) \( \frac{1}{4 \sqrt{2}} \)
(d) \( \frac{1}{2 \sqrt{2}} \)
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