Let 
be a vertex of the ellipse 
and 
be a focus of the ellipse 
. Let 
be a point on the major axis of the ellipse 
, which divides 
in the ratio 
( 
is the origin). If the length of the chord of the ellipse 
through 
and 
is 
, then 
Text Solution
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Given that 
………… ..(i)
vertex 
Again, 
…………… (ii)
Focus 
ae, 0 )
Since, 
is a point on the major axis of the ellipse 
, which divides 
in the ratio 
.
Now, equation of line passing through 
and 
is
.....(iii)
On solving equations (i) and (iii) we get points of intersection line and circle 
and 
Length of chord
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