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Byju's Answer
Standard VIII
Mathematics
Elements of a Parallelogram
The eccentric...
Question
The eccentricity of the ellipse
x
2
a
2
+
y
2
b
2
=
1
,
a
<
b
,
is given by ___________.
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Solution
For
x
2
a
2
+
y
2
b
2
=
1
;
a
<
b
eccentricity,
e
=
1
-
a
2
b
2
i
.
e
e
2
=
1
-
a
2
b
2
i
.
e
b
2
e
2
=
b
2
-
a
2
i
.
e
a
2
=
b
2
1
-
e
2
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Similar questions
Q.
If
e
is eccentricity of ellipse
x
2
a
2
+
y
2
b
2
=
1
(
a
>
b
)
and
e
′
is eccentricity of
x
2
a
2
+
y
2
b
2
=
1
(
a
<
b
)
then
Q.
If e is the eccentricity of the ellipse
x
2
a
2
+
y
2
b
2
=
1
a
<
b
,
then
(a) b
2
= a
2
(1 – e
2
)
(b) a
2
= b
2
(1 – e
2
)
(c) a
2
= b
2
(e
2
– 1)
(d) b
2
= a
2
(e
2
– 1)
Q.
Match the following for ellipse,
x
2
a
2
+
y
2
b
2
=
1
,
a
>
b
, with eccentricity
e
.
Q.
Match the following for ellipse,
x
2
a
2
+
y
2
b
2
=
1
,
a
>
b
with eccentricity
e
.
Q.
If
e
is the eccentricity of the ellipse
x
2
a
2
+
y
2
b
2
=
1
(
a
<
b
)
, then
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