E-StoreImportant Formulae's Sheet For Ellipse..
I.) Here are some important formulae of ELLIPSE which can help a lot in this topic while doing Prepare For JEE/AIEEE ..
WHEN EQUATION OF ELLIPSE IS 
1.) Coordinates of the centre = (0,0)
2.) Coordinates of the vertices = (a,0) and (-a,0)
3.) Coordinates of foci = (ae,0) and (-ae,0)
4.) Length of the major axis = 2a
5.) Length of the minor axis =2b
6.) Equation of the major axis = y=0
7.) Equation of the minor axis = x =0
8.) Equations of the directrices = x = a/e and x = - a/e
9.) Eccentricity = e = ( 1- b^2/a^2)^1/2
10.) Length of the latus rectum = 2b^2/a
11.) Focal distances of a point (x,y) = a+-ex ( a plus minus ex)
II.)
WHEN THE EQUATION OF THE ELLIPSE IS 
1.) Coordinates of the centre = (0,0)
2.) Coordinates of the vertices = (0,b) and (0,-b)
3.) Coordinates of the foci = (0,be) and (0,-be)
4.) Length of the major axis = 2b
5.) Length of the minor axis = 2a
6.) Equation of the major axis = x =0
7.) Equation of the minor axis = y=0
8.) Equations of the directrices = y = b/e and y = -b/e
9.) Eccentricity = e = (1- a^2/b^2)^1/2
10.) Length of the latus-rectum = 2a^2/b
11.) Focal distances of the point (x,y) = b+-ey ( b plus minus ey)
12.) I hope this will help a lot to the readers and they'll find this topic quite easier..
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