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QJEEAdv05Ma33e9: JEE Advanced 2005 Mathematics - Class 12 JEEAdv05Ma33e9 Solution: The differential equation d y d x = 1 − y 2 y determines a…

The differential equation

\frac{d y}{d x} = \frac{\sqrt{1 - y^{2}}}{y}

determines a family of circles with

Multiple Choice Options

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 centrs along the y-axis.

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