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Standard XII
Mathematics
Eccentric Angle : Ellipse
Find the ecce...
Question
Find the eccentricity of the ellipse if
Length of latus rectum
=
half of major axis.
A
1
√
5
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B
1
√
3
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C
1
√
2
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D
2
√
5
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Solution
The correct option is
C
1
√
2
Here given,
2
b
2
a
=
1
2
⋅
2
a
⇒
2
b
2
=
a
2
∴
e
=
√
(
1
−
b
2
a
2
)
=
√
(
1
−
1
2
)
=
1
√
2
.
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