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

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

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 centres along the X-axis

D

fixed radius 1 and variable centres along the Y-axis

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The correct Answer is:
C
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