iran-konkur 2023 Q20

iran-konkur · Other · konkur-riazi_1402_general Areas by integration
20 -- What is the minimum distance from points on the curve $y = \sqrt{x - [x^2]}$ to the line $x - y + 2 = 0$?
(1) $\dfrac{\sqrt{5}}{5}$ (2) $\dfrac{3\sqrt{5}}{8}$ (3) $\dfrac{\sqrt{5}}{10}$ (4) $\dfrac{3\sqrt{5}}{10}$
\textbf{20 --} What is the minimum distance from points on the curve $y = \sqrt{x - [x^2]}$ to the line $x - y + 2 = 0$?

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(1) $\dfrac{\sqrt{5}}{5}$ \hfill (2) $\dfrac{3\sqrt{5}}{8}$ \hfill (3) $\dfrac{\sqrt{5}}{10}$ \hfill (4) $\dfrac{3\sqrt{5}}{10}$

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