Find the axes, eccentricity, latus-rectum and the coordinates of the foci of the hyperbola 25x2 – 36y2 = 225.
Given: 2x2 – 3y2 = 5
To find: eccentricity(e), coordinates of the foci f(m,n), equation of directrix, length of latus-rectum of hyperbola.
Formula used:
For hyperbola
Eccentricity(e) is given by,
Foci are given by (±ae, 0)
The equation of directrix are
Length of latus rectum is
Here, a = 3 and b =
Therefore,
The equation of directrix are:
Length of latus rectum,