Standard Equations of an Ellipse|Question|Hyperbola|Terms Related to Hyperbola|To find the constant|Eccentricity|Standard Equation of Hyperbola|Latus Rectum|Questions

Equation of hyperbola in standard form

if the eccentricity of the hyperbola is sqrt2 . then find the general equation of hyperbola.

If the eccentricity of a hyperbola is 2, then find the eccentricity of its conjugate hyperbola.

If the latus rectum of an hyperbola be 8 and eccentricity be (3)/( sqrt5) the the equation of the hyperbola is

The equation of the directrix of a hyperbola is x-y+3=0. Its focus is (-1,1) and eccentricity 3. Find the equation of the hyperbola.

Find the equation of the hyperbola with vertices at (0, +- 6) and eccentricity 5/3 .

if in a hyperbola the eccentricity is sqrt(3) and the distance between the foci is 9 then the equation of hyperbola in the standard form is:

Show that the equation 9x^2 - 16y^2 - 18x-64y-199=0 represents a hyperbola. Fof this hyperbola, find the length of axes, eccentricity, centre, foci, vertices, latus rectum and directrices.

For the hyperbola, 3y^(2) - x^(2) = 3 . Find the co-ordinates of the foci and vertices, eccentricity and length of the latus rectum.

In the hyperbola 4x^2 - 9y^2 = 36 , find the axes, the coordinates of the foci, the eccentricity, and the latus rectum.