Question

An ellipse passing through ( 4√2 , 2√6 ) has foci at ( -4 ,0 ) and ( 4,0 ) . Then, it's accentricity is ____________.

Answer 1

take general equation of ellipse
x^2/a^2-y^2/b^2=1
substitute those pts find a,b
the to find e
use formula e=
$\sqrt{1 - \frac{ {a}^{2} }{{b}^{2} } }$
and we also have fociii so
ae=4, we can just direclty find all