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JEE Main Math Class 11 Coordinate Geometry Part 1 Questions
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© examsnet.com
Question : 2
Total: 100
The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is:
[2016]
2
√
3
√
3
4
3
4
√
3
Validate
Solution:
2
b
2
a
=
8
and
2
b
=
1
2
(
2
a
e
)
⇒
4
b
2
=
a
2
e
2
⇒
4
a
2
(
e
2
−
1
)
=
a
2
e
2
⇒
3
e
2
=
4
⇒
e
=
2
√
3
© examsnet.com
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