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 Post subject: Angle
PostPosted: Sun, 1 Jun 2003 12:30:44 UTC 
Find the angle between the tangent lines to the ellipse \frac{x^2}{9}+\frac{y^2}{4}-1=0 and the hyperbola \frac{x^2}{4}-y^2-1=0 in their point of intersection,which has positive coordinates.


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PostPosted: Sun, 1 Jun 2003 14:26:14 UTC 
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Joined: Sun, 4 May 2003 16:04:19 UTC
Posts: 2906
first thing is to find the intersection. then you can either use calculus or the standard way to find tangents to get equation of the tagents at that point. proceed to find slope and use arctan on the slope, finally take the difference.

_________________
Has anyone noticed that the below is WRONG? Otherwise this statement would be true:
-1\cong1\pmod{13}
i\cong5 \pmod{13} where
i^2=-1


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