The differential equation $\frac{dy}{dx}=\frac{\sqrt{1-y^2}}{y}$ determines a family of circle with (a) variable radii and a fixed centre at$\left(0,1\right)$ (b) variable radii and a fixed centre at $\left(0,-1\right)$(c) Fixed radius 1 and variable centres along the x-axis. (d) Fixed radius 1 and variable centres along the y-axis.

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