The equation of the hyperbola in the standard form (with transverse axis along x-axis) having the length of latus rectum =9 unit and eccentricity `5/4` is-

The equation of the hyperbola in the standard form (with transverse axis along the x -axis) having the length of the latus rectum =9 units and eccentricity =(5)/(4) is

The equation of the hyperbola in the standard form (with transverse axis along the x-axis having the length of the latus rectum =9 unit and eccentricity = (5)/(4) is :

The equation of the hyperbola with its transverse axis parallel to x-axis and its centre is ( -2,1) the length of transverse axis is 10 and eccentricity 6/5 is

The equation of the hyperbola with is transverse axis is parallel to y-axis and its centre is (2,-3) the length of transverse axis is 12 and eccentricity 7/6 is

Find the equation of the parabola whose vertex is at the origin, axis is along the X-axis and the length of the latus rectum is 4 units.

The eccentricity of the hyperbola whose latus rectum is half of its transverse axis is:

Equation of hyperbola is standard from having latus rectum = 9 and eccentricity = 5/4 is

If, in a hyperbola, the distance between the foci is 10 and the transverse axis has length 8, then the length of its latus-rectum is:

Equation of the hyperbola with latus rectum (22)/(5) and eccentricity 6/5 is