The equation of the tangent at the point \[\left( \frac{a{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}},\frac{{{a}^{2}}b}{{{a}^{2}}+{{b}^{2}}} \right)\] of the circle \[{{x}^{2}}+{{y}^{2}}=\frac{{{a}^{2}}{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}}\]is

\[\frac{x}{a}+\frac{y}{b}+1=0\]

\[\frac{x}{a}-\frac{y}{b}+1=0\]

The equation of the tangent at the point \[\left( \frac{a{{b}^{2}}}{{{

1.	The equation of the tangent at the point \[\left( \frac{a{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}},\frac{{{a}^{2}}b}{{{a}^{2}}+{{b}^{2}}} \right)\] of the circle \[{{x}^{2}}+{{y}^{2}}=\frac{{{a}^{2}}{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}}\]is
A.	\[\frac{x}{a}+\frac{y}{b}=1\]
B.	\[\frac{x}{a}+\frac{y}{b}+1=0\]
C.	\[\frac{x}{a}-\frac{y}{b}=1\]
D.	\[\frac{x}{a}-\frac{y}{b}+1=0\]
Answer» B. \[\frac{x}{a}+\frac{y}{b}+1=0\]

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The equation of the tangent at the point \[\left( \frac{a{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}},\frac{{{a}^{2}}b}{{{a}^{2}}+{{b}^{2}}} \right)\] of the circle \[{{x}^{2}}+{{y}^{2}}=\frac{{{a}^{2}}{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}}\]is

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