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 in the form x^2/a^2-y^2/b^2=1 given that : transverse axis is 8 and e=3

Find the equation of the hyperbola in the form x^2/a^2-y^2/b^2=1 given that : the distance between foci is 10 and LR=9/2

Find the equation of the hyperbola in the form x^2/a^2-y^2/b^2=1 given that : length of conjugate axis is 8 and it passes through (5,1)

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : length of the LR is 5/2 and eccentricity is sqrt3/2

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

For the hyperbola x^2/a^2-y^2/b^2=1 , the values of a and b, if the transverse axis is 8 and eccentricity 3, are:

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : major axis is 2sqrt5 , eccentricity is 1/sqrt2

Eccentricity of a hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is " (sqrt(41))/(5), the ratio of length of transverse axis to the conjugate axis is

Find the equation of the hyperbola if centre (1,-2), length of the transverse axis is 8, e=(5)/(4) and the transverse axis is parallel to X-axis.

Find the equation of the hyperbola in the cases given below : passing through (5, -2) and length of the transverse axis along x axis and of length 8 units.