Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let one focus of the hyperbola
H
:
x
2
a
2
−
y
2
b
2
=
1
H: \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1
H
:
a
2
x
2
−
b
2
y
2
=
1
be at
(
10
,
0
)
(\sqrt{10}, 0)
(
10
,
0
)
and the corresponding directrix be
x
=
9
10
x = \frac{9}{\sqrt{10}}
x
=
10
9
. If
e
e
e
and
l
l
l
respectively are the eccentricity and the length of the latus rectum of
H
H
H
, then
9
(
e
2
+
l
)
9(e^2 + l)
9
(
e
2
+
l
)
is equal to: (1) 14 (2) 15 (3) 16 (4) 12
Browse the problem library