Q. 3 D4.8( 6 Votes )

Find the ec

Answer :

Given the equation of the ellipse is 25x2 + 16y2 = 1600.

We need to find the eccentricity, coordinates of foci and length of latus rectum.

Given equation can be rewritten as


We know for the ellipse (b2>a2)

Coordinates of foci (0,±be)

Length of latus rectum =

Here a2 = 64 and b2 = 100, b2>a2

foci = (0,±6)

Length of latus rectum (L) =

The eccentricity is , foci are (0,±6) and length of the latus rectum is .

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