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Putnam
1942 Putnam
A4
A4
Part of
1942 Putnam
Problems
(1)
Putnam 1942 A4
Source: Putnam 1942
3/1/2022
Find the orthogonal trajectories of the family of conics
(
x
+
2
y
)
2
=
a
(
x
+
y
)
(x+2y)^{2} = a(x+y)
(
x
+
2
y
)
2
=
a
(
x
+
y
)
. At what angle do the curves of one family cut the curves of the other family at the origin?
Putnam
conics