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In an ellipse, the distances between its...

In an ellipse, the distances between its foci is `6` and minor axis is `8`. Then its eccentricity is

A

1/2

B

4/5

C

`1/sqrt5`

D

3/5

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • In an ellipse the distance between its foci is 6 and its minor axis is 8. Then its 'eccentricity is

    A
    `3/5`
    B
    `1/(sqrt5)`
    C
    `1/(sqrt4)`
    D
    `1/(sqrt6)`
  • Distance between foci is 6 and eccentricity is 3/5

    A
    `(x^(2))/(25) + (y^(2))/(16) = 1`
    B
    `(x^(2))/(16) + (y^(2))/(25) = 1`
    C
    `16x^(2) + 25y^(2) = 1`
    D
    `25x^(2) + 16y^(2) = 1`
  • If distance between foci of an ellipse equals its latus-rectrum , then its eccentricity is

    A
    `(1 - sqrt(5))/(2)`
    B
    `(1 + sqrt(5))/(2)`
    C
    `(sqrt(5 -1))/(2)`
    D
    None of these
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    In an ellipse the distance between the foci is 8 and the distance between the directrices is 25, then the ratio of the length of major and minor axis is

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