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Mathematics
Mathematics
Problem
If two tangents can be drawn to the different branches of hyperbola
x
2
1
−
y
2
4
=
1
\frac{x^2}{1} - \frac{y^2}{4} = 1
1
x
2
−
4
y
2
=
1
from the point
(
α
,
α
2
)
(\alpha, \alpha^2)
(
α
,
α
2
)
, then a.
α
∈
(
−
∞
,
−
2
)
\alpha \in (-\infty, -2)
α
∈
(
−
∞
,
−
2
)
b.
α
∈
(
−
2
,
0
)
\alpha \in (-2, 0)
α
∈
(
−
2
,
0
)
c.
α
∈
(
0
,
2
)
\alpha \in (0, 2)
α
∈
(
0
,
2
)
d.
α
∈
(
2
,
∞
)
\alpha \in (2, \infty)
α
∈
(
2
,
∞
)
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