The length of the transverse axis of the rectangular hyperbola `x y=18` is 6 (b) 12 (c) 18 (d) 9

The length of the semi-transverse axis of the rectangular hyperbola xy=32 , is

The length of the transverse axis of the hyperbola x^(2) -20y^(2) = 20 is

The length of the transverse axis of the hyperbola 9x^(2)-16y^(2)-18x -32y - 151 = 0 is

If the lengths of the transverse axis and the latusrectum of a hyperbola are 6 and (8)/(3) respectively, then the equation of the hyperbola is . . .

The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, ) and has the eccentricity 2. Then the transverse axis of the hyperbola has the length 1 (b) 3 (c) 2 (d) 4

The length of the transverse axis and the conjugate axis of a hyperbola is 2a units and 2b units repectively. If the length of the latus rectum is 4 units of the conjugate axis is equal to one-third of the distance between the foci, then the eccentricity of the hyperbola is

The focus of rectangular hyperbola (x-a)*(y-b)=c^(2) is

The length of the transverse axis of a hyperbola, 2 cos0. the foci of the hyperbola are the same as that of the ellips 9x^(2)+16y^(2)=144. the equation of the hypperbola is