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Mathematics
Mathematics
Problem
The asymptote of the hyperbola
x
2
a
2
−
y
2
b
2
=
1
\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1
a
2
x
2
−
b
2
y
2
=
1
form with any tangent to the hyperbola a triangle whose area is
a
2
tan
λ
a^2 \tan \lambda
a
2
tan
λ
in magnitude, then its eccentricity is a.
sec
λ
\sec \lambda
sec
λ
b.
csc
λ
\csc \lambda
csc
λ
c.
sec
2
λ
\sec^2 \lambda
sec
2
λ
d.
csc
2
λ
\csc^2 \lambda
csc
2
λ
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