jee-main 2024 Q68

jee-main · India · session1_27jan_shift1 Conic sections Chord Properties and Midpoint Problems

The length of the chord of the ellipse $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 16 } = 1$, whose mid point is $\left( 1 , \frac { 2 } { 5 } \right)$, is equal to:
(1) $\frac { \sqrt { 1691 } } { 5 }$
(2) $\frac { \sqrt { 2009 } } { 5 }$
(3) $\frac { \sqrt { 1741 } } { 5 }$
(4) $\frac { \sqrt { 1541 } } { 5 }$

The length of the chord of the ellipse $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 16 } = 1$, whose mid point is $\left( 1 , \frac { 2 } { 5 } \right)$, is equal to:\\
(1) $\frac { \sqrt { 1691 } } { 5 }$\\
(2) $\frac { \sqrt { 2009 } } { 5 }$\\
(3) $\frac { \sqrt { 1741 } } { 5 }$\\
(4) $\frac { \sqrt { 1541 } } { 5 }$

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