jee-main 2020 Q58

jee-main · India · session1_09jan_shift2 Conic sections Eccentricity or Asymptote Computation

The length of the minor axis (along $y$-axis) of an ellipse in the standard form is $\frac { 4 } { \sqrt { 3 } }$. If this ellipse touches the line $x + 6 y = 8$ then its eccentricity is:
(1) $\frac { 1 } { 2 } \sqrt { \frac { 11 } { 3 } }$
(2) $\sqrt { \frac { 5 } { 6 } }$
(3) $\frac { 1 } { 2 } \sqrt { \frac { 5 } { 3 } }$
(4) $\frac { 1 } { 3 } \sqrt { \frac { 11 } { 3 } }$

The length of the minor axis (along $y$-axis) of an ellipse in the standard form is $\frac { 4 } { \sqrt { 3 } }$. If this ellipse touches the line $x + 6 y = 8$ then its eccentricity is:\\
(1) $\frac { 1 } { 2 } \sqrt { \frac { 11 } { 3 } }$\\
(2) $\sqrt { \frac { 5 } { 6 } }$\\
(3) $\frac { 1 } { 2 } \sqrt { \frac { 5 } { 3 } }$\\
(4) $\frac { 1 } { 3 } \sqrt { \frac { 11 } { 3 } }$

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