Let a line L pass through the point of intersection of the lines bx + 10y - 8 = 0 and 2x - 3y = 0, 
. If the line L also passes through the point (1, 1) and touches the circle 17 (x 2 + y 2 ) =16, then the eccentricity of the ellipse 
is :
Text Solution
Verified by ExpertsB
Line is passing through intersection of
bx + 10y-8 = 0 and 2x-3y = 0 is
(bx + 10y-8) + 
(2x-3y) = 0.
As line is
passing through (1,1) so 
=b + 2
Now line (3b + 4)x-(3b-4)y-8 = 0
is tangent to circle 17 (x 2 + y 2 ) = 16
So 
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