Hyperbola|Eccentricity#!#Standard equation of Hyperbola#!#Latus rectum

Equation of hyperbola in standard form

Find the eccentricity, length of a latus rectum, equations of the latus rectum of the hyperbola (x^(2))/(16)-(y^(2))/(9) =1 .

The difference between the length 2a of the trans­verse axis of a hyperbola of eccentricity e and the length of its latus rectum is

Find the vertices, eccentricity, foci, equation of directrices length of latus rectum for the hyperbola 3y^(2)-x^(2)=27 .

Find the vertices, eccentricity foci, rquation of directrices and length of latus rectum of the hyperbola 9x^(2)-25y^(2)=225 .

For the hyperbola, 3y^(2) - x^(2) = 3 . Find the co-ordinates of the foci and vertices, eccentricity and length of the latus rectum.

Find the length of the axes , the coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the hyperbola y^(2)-16x^(2)=16.

Find the length of the axes , the coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the hyperbola (y^(2))/(4)-(x^(2))/(9)=1,

Find the lengths of the axes, the coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the hyperbola (x^(2))/(36)-(y^(2))/(64)=1.

Find the lengths of the axes, the coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the hyperbola 9x^(2)-16y^(2)=144.