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Mathematics
Mathematics
Problem
A conic
C
C
C
satisfies the differential equation
(
1
+
y
2
)
d
x
−
x
y
d
y
=
0
(1+y^2)dx - xy\,dy = 0
(
1
+
y
2
)
d
x
−
x
y
d
y
=
0
and passes through the point
(
1
,
0
)
(1,0)
(
1
,
0
)
. An ellipse
E
E
E
is confocal with
C
C
C
and has eccentricity
(
2
3
)
\sqrt{\left(\frac{2}{3}\right)}
(
3
2
)
. Find the length of the latus rectum of the conic
C
C
C
. a. 1 b. 2 c. 3 d. 4
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