The acute angle formed between the lines joining the origin to the points of intersection of the curves \[{{x}^{2}}+{{y}^{2}}-2x-1=0\] and \[x+y=1\], is [MP PET 1998]

\[{{\tan }^{-1}}\left( -\frac{1}{2} \right)\]

The acute angle formed between the lines joining the origin to the poi

1.	The acute angle formed between the lines joining the origin to the points of intersection of the curves \[{{x}^{2}}+{{y}^{2}}-2x-1=0\] and \[x+y=1\], is [MP PET 1998]
A.	\[{{\tan }^{-1}}\left( -\frac{1}{2} \right)\]
B.	\[{{\tan }^{-1}}2\]
C.	\[{{\tan }^{-1}}\frac{1}{2}\]
D.	\[{{60}^{o}}\]
Answer» C. \[{{\tan }^{-1}}\frac{1}{2}\]

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The acute angle formed between the lines joining the origin to the points of intersection of the curves \[{{x}^{2}}+{{y}^{2}}-2x-1=0\] and \[x+y=1\], is [MP PET 1998]

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