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Mathematics
Mathematics
Problem
Consider the ellipse
x
2
tan
2
α
+
y
2
sec
2
α
=
1
\frac{x^2}{\tan^2 \alpha} + \frac{y^2}{\sec^2 \alpha} = 1
t
a
n
2
α
x
2
+
s
e
c
2
α
y
2
=
1
, where
α
∈
(
0
,
π
/
2
)
\alpha \in (0, \pi/2)
α
∈
(
0
,
π
/2
)
: Which of the following quantities would vary as
α
\alpha
α
varies? a. degree of flatness b. ordinate of the vertex c. coordinate of the foci d. length of latusrectum
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