find the eccentricity of the ellipse if length of major axis is 8 and minor axis is 6
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Answers
Answered by
0
Answer:
Distance between foci = 6
Distance between minor axis = 8
To find : Eccentricity = e = ?
Solution : Let the equation of the ellipse be :
a
2
x
2
+
b
2
y
2
=1,a
2
>b
2
∴
b
ae
=
4
3
⇒e
2
=
16
9
(
a
2
b
2
)
We know that ,
a
2
b
2
=1−e
2
⇒(
9
16+9
)e
2
=1
⇒e=
5
3
Answered by
0
Answer:root of 7/16
Step-by-step explanation:given length of major axis =8
2a=8
a=4
Length of minor axis= 6
2b=6
b=3
e=root of(a^2-b^2/a^2)
root of(16-9/16)
=root of(7/16)
=root of(7)/4
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