MathematicsMedium74×since 2004Q3764Let a line L pass through the point of intersection of the lines bx+10y−8=0b x+10 y-8=0bx+10y−8=0 and 2x−3y=0, b∈R−{43}2 x-3 y=0, \mathrm{~b} \in \mathbf{R}-\left\{\frac{4}{3}\right\}2x−3y=0, b∈R−{34}. If the line L\mathrm{L}L also passes through the point (1,1)(1,1)(1,1) and touches the circle 17(x2+y2)=1617\left(x^{2}+y^{2}\right)=1617(x2+y2)=16, then the eccentricity of the ellipse x25+y2 b2=1\frac{x^{2}}{5}+\frac{y^{2}}{\mathrm{~b}^{2}}=15x2+ b2y2=1 is :A25\frac{2}{\sqrt{5}}52B35\sqrt{\frac{3}{5}}53C15\frac{1}{\sqrt{5}}51D25\sqrt{\frac{2}{5}}52Check answerSkip