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[Solved]: Question 9 Given an ellipse (x^(2))/(a^(2))+(y^(2)
Home / Expert Answers / Advanced Math / 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-pa467

(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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