For the hyperbola `3x^(2) - 6y^(2) = - 18` find the length of transverse and conjugate axes and eccentricity .

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

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)=1443x^(2)-6y^(2)=-18

Find the coordinate of the foci,vertices, the length of transverse axis, conjugate axis and eccentricity of the hyperbola x^2/16-y^2/9=1 .

Find the equation of hyperbola in the form (x^2)/(a^2)-(y^2)/(b^2)=1 , given that length of transverse axis = 10 and eccentricity = 2.

Find the equation of the hyperbola, whose axes are axes of coordinates and lengths of transverse and conjugate axes are 5 and 6 respectively

Find the length of the transverse and conjugate axes of the hyperbola 9x^(2) - 16y^(2) = 144 . Write down the equation of the hyperbola conjugate to it and find the eccentricities of both the hyperbolas.

Find the lengths of transverse and conjugate axes, co-ordinates of foci, vertices and the eccentricity for the following hyperbola : 2x^2 -3y^2 -6= 0 .

Find the lengths of transverse and conjugate axes, co-ordinates of foci, vertices and the eccentricity for the following hyperbola : 3x^2 -2y^2=1 .