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In an ellipse, the distance between its foci is 4 and minor axis is 6.Then its eccentricity is

Answer (Detailed Solution Below)

Option 3 :
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Detailed Solution

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Concept:

The general equation of an ellipse is written as: 

Eccentricity = e =

Distance between foci of ellipse = 2ae

 

Calculation:

Given: Distance between its foci is 4

2ae = 4

ae = 2

Given: Minor axis = 6

2b = 6

b = 3

Eccentricity: b2 = a2(1 - e2) 

9 = a2 - a2 e2

9 = a2 - 4

9 + 4 = a2 

13 = a2 

a =  

e = 

Hence Option 3 is correct.

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