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Find the length of latus rectum and the ...

Find the length of latus rectum and the coordinates of the foci of the ellipse `25x^(2) + 4y^(2) = 100` .

Text Solution

Verified by Experts

The correct Answer is:
`(8)/(5)` unit and `(0, pm sqrt(21))`
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Knowledge Check

  • The coordinates of the foci of the ellipse 20x^2+4y^2=5 are

    A
    `(0,+-1)`
    B
    `(0,+-sqrt2)`
    C
    `(+-1,0)`
    D
    `(+-sqrt2,0)`

  • The eccentricity of the ellipse 25 x^(2) + 4y^(2) = 100 is _

    A
    `(7sqrt(7))/(5)`
    B
    `(3sqrt(7))/(5)`
    C
    `(7sqrt(3))/(5)`
    D
    `(sqrt(21))/(5)`

  • The length of latus rectum of the ellipse 25x^(2) + 9y ^(2) = 225 is _

    A
    `(16)/(5)` unit
    B
    `(18)/(5)` unit
    C
    `(8)/(5)` unit
    D
    `(9)/(5)` unit

    • Similar Questions

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    Find the eccentricity, the length of latus rectum and the centre of ellipse 9x^(2) + 16y^(2) - 54 x + 64 y + 1 = 0

    The length of the latus rectum of the ellipse 16x^(2) + 25y^(2) = 400 is:

    The length of latus rectum of the ellipse 9x^(2) + 25y^(2) = 225 is _

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