Given:
e=d2/d1,
a^2+b^2=c^2,
(x/a)^2-(y/b)^2=1,
a graph of a hyperbola with its center on the origin,
a=distance b/w the center and the vertex of the hyperbola,
c=distance b/w the center and the focus,
d=distance b/w the center and the directrix,
d1=distance b/w the directrix and the vertex,
d2=distance b/w the vertex and the focus......
Prove:
e=a/d,
e=c/a,
d=a^2/c,
LR(Latus Rectum)=2b^2/a......
I hope the givens were clear enough, I did my best...
I suggest that you graph or sketch the hyperbola first.
I've proved LR myself, but the rest was just too hard(worked for literally 3 hrs and 30 min after dinner).
Thank you and please prove it clearly(if possible) so I could understand.
2007-04-12
09:08:09
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1 answers
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asked by
Korean Pride
2
in
Science & Mathematics
➔ Mathematics