Find the length and equation of major and minor axes, centre, eccentricity, foci, equation of directrices, vertices and length of latus rectum of the ellipses : `x^2/225 + y^2/289 =1`

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

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

Find the co-ordinates of vertices, length of major and minor axes, eccentricity, co-ordinates of foci, equation of directrices and length of latus rectum for each of the following ellipse : (i) (x^(2))/(49)+y^(2)/(25)=1 (ii) (x^(2))/(4)+(y^(2))/(9)=1

Find the centre, foci, eccentricity equation of the directrices, length of the latus rectum of the hyperbola. x^(2)-4y^(2)=4

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

Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus rectum of the hyperbola 3x^2-y^2=4

Find the eccentricity, coordinates of the foci ,equations of directrices and length of the latus rectum of the hyperbola : 9x^2-16 y^2=144

Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus rectum of the hyperbola 4x^2-3y^2=36

Find the eccentricity, coordinates of the foci ,equations of directrices and length of the latus rectum of the hyperbola 2x^2-3y^2=5.

Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus rectum of the hyperbola 16 x^2-9y^2=144