Correct option is B. The latus rectum is 3/2 and
D. A directrix is x = -2√3
Given ellipse is x2 + 4y2 = 9.
⇒ x2 + 4y2 = 9
Comparing with the standard form
Here a2 >b2
⇒ eccentricity(e) =
Length of the latus rectum is
Focus (±ae, 0) = (±3√3/2, 0)
Directrices are
Directrices are x = ± 2√3