Find the (iii) coordinates of the foci, (iv) eccentricity

Find the (iii) coordinates of the foci, (iv) eccentricity

Given:

…(i)

Since,

So, above equation is of the form,

…(ii)

Comparing eq. (i) and (ii), we get

(iii) To find: Coordinates of the foci

We know that,

Coordinates of foci =

where

So, firstly we find the value of c

…(I)

∴ Coordinates of foci =

(iv) To find: Eccentricity

We know that,

Eccentricity e=c/a

[from(I)]