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Find the eccentricity of the ellipse (...

Find the eccentricity of the ellipse
`(i) (x^(2))/(16)+(y^(2))/(9)=1`
`(ii) (x^(2))/(64)+(y^(2))/(36)=1`
`(iii)25x^(2)+4y^(2)=100`

Text Solution

Verified by Experts

The correct Answer is:
`(i)sqrt(7)/(4)`
`sqrt(7)/(4)`
(iii) `sqrt(21)/(5)`
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Knowledge Check

  • The eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25) =1 is

    A
    `4/5`
    B
    `3/5`
    C
    `4/3`
    D
    `3/4`

  • The eccentricity of the ellipse (x-1)^(2)/(16)+(y-2)^(2)/(9)=1 is

    A
    `3/4`
    B
    `sqrt(7)/(3)`
    C
    `sqrt(7)/(4)`
    D
    `sqrt(7)/(4)`

  • The eccentricity of the ellipse 9x^(2)+ 16y^(2)= 144 is

    A
    `7/4`
    B
    `7/2`
    C
    `sqrt(7)/2`
    D
    `sqrt(7)/4`

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    The eccentricity of the ellipse 9x^(2)+ 16y^(2)= 144 is

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