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If the length of the major axis of the e...

If the length of the major axis of the ellipse `((x^(2))/(a^(2)))+((y^(2))/(b^(2)))=1` is three times the length of minor axis, its accentricity is

A

`(1)/(3)`

B

`(1)/(sqrt(3))`

C

`sqrt((2)/(3))`

D

`(2sqrt(2))/(3)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If the length of the major axis of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is three times the length of minor axis, then its eccentricity is

    A
    `1/3`
    B
    `(1)/sqrt(3)`
    C
    `sqrt(2/3)`
    D
    `(2sqrt(2))/(3)`

  • If the length of the major axis of the ellipse (x^2/a^2)+(y^2/b^2)=1 is three times the length of minor axis, its eccentricity is

    A
    `1/3`
    B
    `1/sqrt3`
    C
    `sqrt(2/3)`
    D
    `(2sqrt2)/3`

  • If the length of the major axis of the ellipse (x^2/a^2)+(y^2/b^2)=1 is three times the length of minor axis, its eccentricity is

    A
    `1/3`
    B
    `1/sqrt3`
    C
    `sqrt(2/3)`
    D
    `(2sqrt2)/3`

    • Similar Questions

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