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Mathematics
Mathematics
Problem
A hyperbola passes through the point
P
(
2
,
3
)
P(\sqrt{2}, \sqrt{3})
P
(
2
,
3
)
and has foci at
(
±
2
,
0
)
(\pm 2, 0)
(
±
2
,
0
)
. Then the tangent to this hyperbola at
P
P
P
passes through which point? a.
(
−
2
,
−
3
)
(-\sqrt{2}, -\sqrt{3})
(
−
2
,
−
3
)
b.
(
3
2
,
2
3
)
(3\sqrt{2}, 2\sqrt{3})
(
3
2
,
2
3
)
c.
(
2
2
,
3
3
)
(2\sqrt{2}, 3\sqrt{3})
(
2
2
,
3
3
)
d.
(
3
,
2
)
(\sqrt{3}, \sqrt{2})
(
3
,
2
)
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