Question

Let a line L pass through the point of intersection of the lines bx + 10y – 8 = 0 and 2x – 3y = 0, b ∈ R - {4/3}. If the line L also passes through the point (1, 1) and touches the circle 17 (x² + y²) = 16, then the eccentricity of the ellipse x² / 5 + y² / b² = 1 is :

(A) 2/√5

(B) √(3/5)

(C) 1/√5

(D) √(2/5)

Answer 1

Correct option is (B) √(3/5)

Line is passing through intersection of