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Problems
Contests
National and Regional Contests
Italy Contests
ITAMO
1985 ITAMO
11
11
Part of
1985 ITAMO
Problems
(1)
Ellipse not parallel to x- or y-axis
Source:
1/1/2006
An ellipse has foci at
(
9
,
20
)
(9,20)
(
9
,
20
)
and
(
49
,
55
)
(49,55)
(
49
,
55
)
in the
x
y
xy
x
y
-plane and is tangent to the
x
x
x
-axis. What is the length of its major axis?
conics
ellipse
analytic geometry
geometry
geometric transformation
reflection