Q. 64.4( 9 Votes )

In each of

Answer :

The given equation is 49y2 – 16x2 = 784


We can re-write the given as


Or ……….. (1)


On comparing this equation (1) with the standard equation of hyperbola


, we get,


a = 4 and b =7


We know, a2 + b2 = c2


Thus,


c2 = 16 + 49 = 65


c =


Therefore,


The coordinates of the foci are (0, ).


The coordinates of the vertices are (0, 4).


Eccentricity, e =


Length of latus rectum =


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