|Oct7-09, 03:44 PM||#1|
tangent lines to the ellipse
1. The problem statement, all variables and given/known data
Find the equations of both the tangent lines to the ellipse x2 + 9y2 = 81 that pass through the point (27, 3).
One is horizontal the other is not.
2. Relevant equations
3. The attempt at a solution
horizontal, easy: y = 3
2x + 18yy` = 0
at the point (27,3) the slope will be -1.
y-3 = -(x-27)
y= -x + 30
this solution is wrong according to my online assignment program, but I can't for the life of me see why.
|Oct7-09, 03:58 PM||#2|
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