Geo5.2.15

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Find the equation of the tangent to the ellipse x^{2}+2y^{2}-4x+12y+14=0\, at (2,-1).

Equation of the tangent at (2,-1) is

2x-2y-2(x+2)+6(y-1)+14=0\,

2x-2y-2x-4+6y-6+14=0\,

4y+4=0\,

y+1=0\,


Main Page:Geometry:The Ellipse