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Find eccentricity of the ellipse12x^(2)+...

Find eccentricity of the ellipse`12x^(2)+7y^(2)=84`

A

`sqrt(5)/(7)`

B

`sqrt((5)/(12))`

C

`(sqrt(5))/(12)`

D

`(5)/(7)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • FInd the eccentricity of the ellipse 4x^(2)+y^(2)-8x+4y-8=0

    A
    `(sqrt3)/(2)`
    B
    `(sqrt3)/(4)`
    C
    `(sqrt3)/(sqrt2)`
    D
    `(sqrt3)/(8)`

  • If the eccentricity of the ellipse a x^(2) + 4y^(2) = 4a, (a lt 4) is (1)/(sqrt(2)) , then its semi-minor axis is equal to a)2 b) sqrt(2) c)1 d) sqrt(3)

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

  • The eccentricity of the ellipse 25x^(2) + 16y^(2) - 150 x -175 =0 is

    A
    ` (2)/(5)`
    B
    ` (2)/(3)`
    C
    ` (4)/(5)`
    D
    ` (3)/(5)`

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