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Find the eccentricity, the semi-major axis, the semi-minor axis, the coordinates of the foci, the equationsof the directrices and the length of the latus rectum of the ellipse 3x^(2)+4y^(2)=12.

Answer»


Answer :Semi-major axis = a = 2. Semi-minor axis = b = `sqrt(3)`
Eccentricity = `1/2`
The coordinates of the foci are `(pmae, 0) " or "(pm1, 0)`
The equation of the DIRECTRICES are `x= pma/e =PM4`
Length of the latus rectum = 3


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