Find the centre, eccentricity, foci, length of latus rectum and equations of the directrices of the hyperbola `4(y+3)^2-9(x-2)^2=1`

Find the eccentricity, foci, length of latusrectum and the equations to the directrices of the hyperbola (x^(2))/(16)-(y^(2))/(9) = 1

Find the eccentricity foci,length of latus rectum and equation of directrices of the ellipse 9x^2+16y^2=144

Find the length of latus rectum and the equations of the directrices of the hyperbola 3y^(2) - 4x^(2) = 12

Find the eccentricity, foci, vertices, length of latus rectum and equations of directrices of hyperbola. (i) x^(2)-4y^(2)=4 (ii) 4x^(2)-9y^(2)=27

Find the eccentricity foci,length of latus rectum and equation of directrices of the ellipses 4x^2+y^2-8x+2y+1=0

Find the centre, the eccentricity, the foci, the directrices, the length of latus-rectum, equations of the directrices of the ellipse (x-3)^2/25+(y+1)^2/16=1 .

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

Find the centre eccentricity, foci, directrices and length of the lotus rectum of the hyperbolas. 4(y+3)^(2)-9(x-2)^(2)=1