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Let a line L pass through the point of intersection of the lines bx + 10y – 8 = 0 and 2x – 3y = 0, b ∈ R – ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ 3 4 . 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 2 2 2 b y 5 x + = 1 is :

1. 5 2
2. 5 3
3. 5 1
4. 5 2

Correct answer: 5 3

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