Question 9 Given an ellipse
(x^(2))/(a^(2))+(y^(2))/(b^(2))=1
and its left focus
F(-c,0)
. A line
l
passing through
F
with an angle of incliation
\theta
intersects the ellipse at points
A
and
B
. Show that
|AB|=(2ab^(2))/((a^(2)-b^(2))sin^(2)\theta +b^(2))