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The eccentricity of the ellipse 16x^2 + ...

The eccentricity of the ellipse `16x^2 + 25y^2 = 400` is

A

`3/5`

B

`3/4`

C

`4/5`

D

`9/25`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The vertices of the ellipse 16x^(2) + 25y^(2) = 400 are …………

    A
    `(0,pm4)`
    B
    `(pm 5 , 0)`
    C
    `(pm4,0)`
    D
    `(0, -pm5)`

  • The eccentricity of the ellipse 9x^(2)+4y^(2)=36 is . . .

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

  • The eccentricity of the ellipse (x - 3) ^(2)+ (y -4) ^(2) = (y ^(2))/(9) is

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

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    Find the center, foci, the length of the axes, and the eccentricity of the ellipse 2x^2+3y^2-4x-12 y+13=0

    Find the coordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse 9x^(2)+4y^(2)=36

    If e_(1) is the eccentricity of the ellipse (x^(2))/(25)+(y^(2))/9=1 and if e_(2) is the eccentricity of the hyperbola 9x^(2)-16y^(2)=144 , then e_(1)e_(2) is. . . . .

    The eccentricity of the ellipse 9x^(2)+5y^(2)-54x-40y+116=0 is:

    The eccentricity of ellipse (x^(2))/(25)+(y^(2))/(9)=1 is ……………. .

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