The differential equation (dy)/(dx)=sqrt...

The differential equation `(dy)/(dx)=sqrt(1-y^(2))/(y)`
determines a family of circles with

A

(a) variable radii and a fixed centre (0,1)

B

(b) variable radii and a fixed centre (0,-1)

C

(c) fixed radius 1 and variable centres along the X-axis

D

(d) fixed radius 1 and variable centres along the Y-axis

Verified by Experts

The correct Answer is:

C

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