For the following ellipses find ellipses find the lengths of major and minor axes, coordinates of foci, vertices and the eccentricity: `16 x^2+25 y^2=400` `3x^2+2y^2=6` `x^2+4y^2-2x=0`

Explanation

(i)Given ellipse:

`16x^2+25y^2=400=(x^2)/(25)​+(y^2)/(16)​=1`

Therefore, a=5,b=4

Now,

Length of major axis: 2a=10

Length of minor axis: 2b=8

Eccentricity `(e): sqrt(1−(b/a)^2)​
​=3/5`

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