Q. 5 G

# find the eq

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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