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