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% https://alfurka.github.io/quick-tikz/
\def \circleA {(0.5,0) circle [radius=1.5]}
\def \circleB {(0,-0.5) circle [radius=1.5]}
\begin{tikzpicture}[scale=2,background rectangle/.style={fill=white}, show background rectangle]
% Axis
\draw (-2.5,0) -- (2.5,0);
\draw (0,-2.5) -- (0,2.5);
\draw[step=0.5,gray,very thin] (-2.4,-2.4) grid (2.4,2.4);
% Main shapes
\draw[blue] \circleA;
\draw[red] \circleB;
% Intersection
\begin{scope}
\clip \circleA;
\draw[pattern=crosshatch, even odd rule] \circleA \circleB;
\end{scope}
\end{tikzpicture}
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