10.2. Plot on the coordinate plane the set of points whose coordinates satisfy the equation $4 x^{2} y^{2}=4 x y+3$.
Solution. The given equation can be reduced to an equivalent one: $(2 x y-1)^{2}=4 \Leftrightarrow 2 x y=1 \pm 2$. Therefore, the set of points in question consists of two hyperbolas $y=\frac{3 / 2}{x}$ and $y=\frac{-1 / 2}{x}$ (each quadrant will have one branch of the corresponding hyperbola).