The length of the minor axis (along y-axis) of an ellipse in the standard form is

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

\frac{4}{\sqrt{3}}

. If this ellipse touches the line

x + 6y = 8

; then its eccentricity is: [Jan. 9, 2020 (II)] (a)

\frac{1}{2}\sqrt{\frac{11}{3}}

(b)

\sqrt{\frac{5}{6}}

(c)

\frac{1}{2}\sqrt{\frac{5}{3}}

(d)

\frac{1}{3}\sqrt{\frac{11}{3}}