Q. 45.0( 1 Vote )

# Find the axes, eccentricity, latus-rectum and the coordinates of the foci of the hyperbola 25x^{2} – 36y^{2} = 225.

Answer :

**Given:** 2x^{2} – 3y^{2} = 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,

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