The equation of the curve satisfying \[xdy-ydx=\sqrt{{{x}^{2}}-{{y}^{2}}}\] and \[y(1)=0\] is:

The equation of the curve satisfying \[xdy-ydx=\sqrt{{{x}^{2}}-{{y}^{2

1.	The equation of the curve satisfying \[xdy-ydx=\sqrt{{{x}^{2}}-{{y}^{2}}}\] and \[y(1)=0\] is:
A.	\[y={{x}^{2}}\log (\sin \,x)\]
B.	\[y=x\sin (log\,x)\]
C.	\[{{y}^{2}}=x{{(x-1)}^{2}}\]
D.	\[y=2{{x}^{2}}(x-1)\]
Answer» C. \[{{y}^{2}}=x{{(x-1)}^{2}}\]

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The equation of the curve satisfying \[xdy-ydx=\sqrt{{{x}^{2}}-{{y}^{2}}}\] and \[y(1)=0\] is:

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