Given the equation of the ellipse is 4x² + 3y² = 1.

We need to find the eccentricity, coordinates of foci and length of latus rectum.

Given equation can be rewritten as .

We know for the ellipse (b²>a²)

⇒

⇒ Coordinates of foci (0,±be)

⇒ Length of latus rectum =

Here and , b²>a²

⇒

⇒

⇒

⇒

⇒

⇒

⇒ Length of latus rectum (L) =

⇒

∴ The eccentricity is , foci are and length of the latus rectum is .