Q. 45.0( 1 Vote )

Find the axes, eccentricity, latus-rectum and the coordinates of the foci of the hyperbola 25x2 – 36y2 = 225.

Answer :

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,






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