Find (i) the centre, (ii) vertices, (iii) equations of the axes, (iv) lengths of the axes (v) eccentricity,(vi) the length of latus rectum, (vii) coordinates of foci and (viii) the equations of the directrices of each of the following ellipses :
`((x+1)^(2))/(9)+((y-2)^(2))/(5)=1`

Answer

(i) (-1,2) ,(ii) (2,2) and (-4,2) ,(iii) Major axis : y - 2 = 0 and minor axis : x + 1 = 0 ,(iv) 6 and `2sqrt(5)` ,(v) `(2)/(3)` , (vi) `(10)/(3)` , (vii) (1,2) and (-3,2) , (viii) 2x - 7 = 0 and 2x + 11 = 0