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(Solved): Question 9 Given an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and its left focus F(-c,0). A line l p ...



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))
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