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A circle of radius r is concentric with ...

A circle of radius `r` is concentric with the ellipse `x^2/a^2 + y^2/b^2 = 1`. Prove that the common tangent is inclined to the major axis at an angle `tan^(-1) sqrt((r^2-b^2)/(a^2 - r^2)`.

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The correct Answer is:
`sqrt(r^(2)-b^(2))/(a^(2)-r^(2))`
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