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Analytical Geometry

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Joined: 7 Aug 2007
Post: 184
3 Apr 2008 18:58:46 IST
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ellipse
None

what is the eccentricity of an ellipse having foci (3,1) and (1,1) passing through the point (1,3)?
 
ans:sqrt 2  - 1


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Akhil's Avatar

Blazing goIITian

Joined: 17 Jan 2008
Posts: 1451
3 Apr 2008 19:31:19 IST
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Sum of focal distances=2a
distance PS1=2
PS2=2root2
2a=2(root 2 +1)

also dist between foci=2ae=2 units
so e=1/a
=1/1+[ ] 2
=[ ] 2-1



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