The eccentricity of the ellipse `25x^2+16 y^2=400` is
a.`3//5`
b. `1//3`
c. `2//5`
d. `1//5`

Explanation

`25x^2+16 y^2=400`

`implies {25x^2}/400+{16 y^2}/400=1`

`implies {x^2}/16+{y^2}/25=1`

Here, `a=4, b=5`

`therefore e=sqrt{{b^2-a^2}/b^2}`

`=sqrt{{25-16}/25}`

`=3/5`

Hence, option (a) is correct.