# In an ellipse, the distance between its focii is 6 and minor axis is 8. Then its eccentricity is, Option 1) 3/5 Option 2) 1/2 Option 3) 4/5 Option 4) 1/

As we learnt in

Coordinates of foci -

- wherein

For the ellipse

Length of major axis -

- wherein

Semi minor axis

Eccentricity -

- wherein

For the ellipse

Distance between its focii is 6.

2ae = 6; ae = 3

minor axis, 2b = 8; b=4

b2 = a2(1-e2)

b2 = a2- a2e2

a2=25  a=5

Option 1)

3/5

this is correct option

Option 2)

1/2

this is incorrect option

Option 3)

4/5

this is incorrect option

Option 4)

1/

this is incorrect option

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