Find the equation to the hyperbola, referred to its axes as axes of coordinates,
Whose transverse and conjuagate axes are respectively 3 and 4,

Find the equation to the hyperbola referred to its axes as coordinate axes whose conjugate axis is 7 and passes through the point (3,-2).

The equation of hyperbola referred to its axes as axes of coordinate whose distance between the foci is 20 and eccentricity equals sqrt2 is

Find the equation of the hyperbola whole transverse and conjugate axes are 8 and 6 respectively.

Find the equation of the hyperbola for which the distance between focie is 32, e = 2sqrt(2) and transverse and conjugate axes are along x and y-axes respectively.

Find the equation of the hyperbola, the length of whose latus rectum is 8 , eccentricity is 3/sqrt(5) and whose transverse and conjugate axes are along the x and y axes respectively.

Find the equation of the hyperbola,referred to its principal axes of coordinates,in the following cases: Vertices at (+-5,0), Foci at (+-7,0) Vertices at (0,7),e=(4)/(3)

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : (i) whose major axis = 6 and minor axis = 4 (ii) Which passes through the point (-3, 1) and has eccentricity = sqrt((2)/(5)) (iii) whose foci are (2,0) , (-2,0) and latus -rectum is 6.

Find the equation of the bisectors of the angles between the coordinate axes.

Find the equation of the hyperbola whose eccentricity is sqrt(2) and the distance between the foci is 16, taking transverse and conjugate axes of the hyperbola as x and y-axes respectively.