Q. 3 A5.0( 1 Vote )

Find the eccentri

Answer :

Given: 9x2 – 16y2 = 144


To find: eccentricity(e), coordinates of the foci f(m,n), equation of directrix, length of latus-rectum of hyperbola.


9x2 – 16y2 = 144





Formula used:


For hyperbola


Eccentricity(e) is given by,



Foci is given by (±ae, 0)


Equation of directrix are:


Length of latus rectum is


Here, a = 4 and b = 3





c = 5


Therefore,




Foci: (±5, 0)


Equation of directrix are:







Length of latus rectum,





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