For the following hyperbolas find the le...

For the following hyperbolas find the lengths of transverse and conjugate axes, eccentricity and coordinates of foci and vertices, length of the latus-rectum, equations of the directrices: `6x^2-9y^2=144` `3x^2-6y^2=-18`

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Find the lengths of the transvers and the conjugate axis, eccentricity, the coordinates of foci, vertices, the lengths of latus racta, and the equations of the directrices of the following hyperbola: 16 x^2-9y^2=-144.

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

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 3x^2-y^2=4

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 4x^2-3y^2=36

Find the length of the transverse axis, conjugate axis, eccentricity, vertices, foci and directrices of the hyperbola 9x^2 - 16y^2 = 144 .

Find the eccentricity, the coordinates of the foci, and the length of the latus rectum of the ellipse 2x^(2)+3y^(2)=1 .

For the ellipse 9x^2 + 16y^2 = 144 , find the length of the major and minor axes, the eccentricity, the coordinatse of the foci, the vertices and the equations of the directrices.

Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 16 x^2-9y^2=576

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