jee-main 2018 Q71

jee-main · India · 16apr Conic sections Eccentricity or Asymptote Computation

If the length of the latus rectum of an ellipse is 4 units and the distance between a focus and its nearest vertex on the major axis is $\frac { 3 } { 2 }$ units, then its eccentricity is
(1) $\frac { 2 } { 3 }$
(2) $\frac { 1 } { 2 }$
(3) $\frac { 1 } { 9 }$
(4) $\frac { 1 } { 3 }$

If the length of the latus rectum of an ellipse is 4 units and the distance between a focus and its nearest vertex on the major axis is $\frac { 3 } { 2 }$ units, then its eccentricity is\\
(1) $\frac { 2 } { 3 }$\\
(2) $\frac { 1 } { 2 }$\\
(3) $\frac { 1 } { 9 }$\\
(4) $\frac { 1 } { 3 }$

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