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The problem I have to solve is: If tangent lines to ellipse $9x^2+4y^2=36$ intersect the y-axis at point $(0,6)$, find the points of tangency.

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    You are missing some $y^2$ somewhere in your expression. Can you take a look at it again?2011-10-16
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    None of the ([multivariable-calculus](http://en.wikipedia.org/wiki/Multivariable_calculus)), ([elliptic-curves](http://en.wikipedia.org/wiki/Elliptic_curve)) or ([elliptic-functions](http://en.wikipedia.org/wiki/Elliptic_function)) tags are representative of this question.2011-10-16

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