Distance between the directrices of the ellipse 9x2+5y2−30y = 0 is
9/2
18
9
12
9x2+5y2−30y = 0
⇒9x2+5(y2−6y+9) = 45
⇒x25+(y−3)29 = 1, e = √1−59 = 23
The distance between the two directrices = 2be = 2×323 = 9