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If (5, 12) and (24, 7) are the foci of a...

If (5, 12) and (24, 7) are the foci of an ellipse passing through the origin, then find the eccentricity of the ellipse.

A

`e = sqrt(386)/13`

B

`e = sqrt(386)/12`

C

`L.R = (121)/6` units

D

length of conjugate axis is `sqrt(242)` units

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Knowledge Check

  • If F_1 (-3, 4) and F_2 (2, 5) are the foci of an ellipse passing through the origin, then the eccentricity of the ellipse is

    A
    `sqrt29/(5+sqrt29)`
    B
    `sqrt21/(5+sqrt29)`
    C
    `sqrt26/(5+sqrt29)`
    D
    `sqrt29/(5+sqrt21)`

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    A
    `2/5`
    B
    `3/5`
    C
    `4/5`
    D
    None of these

  • If the distance between the foci of an ellipse is 8 and length of latus rectum is 18/5, then the eccentricity of ellipse is:

    A
    `2/5`
    B
    `3/5`
    C
    `4/5`
    D
    None of these

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