Answer :

Given that we need to find the equation of the ellipse whose vertices are (0,±13) and foci (±4,0).


Let us assume the equation of the ellipse as (a2>b2).



We know that vertices of the ellipse are (0,±b)


b = 13


b2 = 169


We know that foci = (±ae,0)


ae = 4


We know that eccentricity



16 = a2 - 169


a2 = 185


The equation of the ellipse is



The equation of the ellipse is .


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