Question

for ellipse 9x^2 +16y^2=576 find the eccentricity??

plzz plzz solve.!

Answer 1

Answer-

9x^2 + 16y^2 = 576

We can write the given equation as-

x^2/16 + y^2/9 = 1

So a^2=16 and b^2=9

Since

b^2=a^2(e^2 - 1)

9 = 16(e^2-1)

e^2= 9/16+1

e^2= 25/16

e= +_ 5/4