jee-main 2022 Q64

jee-main · India · session1_26jun_shift2 Conic sections Locus and Trajectory Derivation

The locus of the mid-point of the line segment joining the point $( 4,3 )$ and the points on the ellipse $x ^ { 2 } + 2 y ^ { 2 } = 4$ is an ellipse with eccentricity
(1) $\frac { \sqrt { 3 } } { 2 }$
(2) $\frac { 1 } { 2 \sqrt { 2 } }$
(3) $\frac { 1 } { \sqrt { 2 } }$
(4) $\frac { 1 } { 2 }$

The locus of the mid-point of the line segment joining the point $( 4,3 )$ and the points on the ellipse $x ^ { 2 } + 2 y ^ { 2 } = 4$ is an ellipse with eccentricity\\
(1) $\frac { \sqrt { 3 } } { 2 }$\\
(2) $\frac { 1 } { 2 \sqrt { 2 } }$\\
(3) $\frac { 1 } { \sqrt { 2 } }$\\
(4) $\frac { 1 } { 2 }$

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