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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/sqrt2`

B

`1/sqrt3`

C

`(2sqrt2)/3`

D

`(2sqrt2)/5`

Text Solution

Verified by Experts

The correct Answer is:
C
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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)/(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`

    • Similar Questions

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