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The differential equation `(dy)/(dx)=(sqrt(1-y^2))/y` determines a family of circle with (a) variable radii and a fixed centre at (0, 1) (b) variable radii and a fixed centre at `( c ) (d)(( e ) (f)0,-1( g ))( h )` (i) (j) Fixed radius 1 and variable centres along the x-axis. (k) Fixed radius 1 and variable centres along the y-axis.
A. Variable radii and a fixed centre at (0, 1)
B. Variable radii and a fixed centre at (0, -1)
C. Fixed radius 1 and variable centre along the x-axis
D. Fixed radius 1 and variable centre along the y-axis

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