jee-main 2025 Q14

jee-main · India · session1_22jan_shift1 Conic sections Eccentricity or Asymptote Computation
Let the foci of a hyperbola be $( 1,14 )$ and $( 1 , - 12 )$. If it passes through the point $( 1,6 )$, then the length of its latus-rectum is:
(1) $\frac { 24 } { 5 }$
(2) $\frac { 25 } { 6 }$
(3) $\frac { 144 } { 5 }$
(4) $\frac { 288 } { 5 }$
Let the foci of a hyperbola be $( 1,14 )$ and $( 1 , - 12 )$. If it passes through the point $( 1,6 )$, then the length of its latus-rectum is:\\
(1) $\frac { 24 } { 5 }$\\
(2) $\frac { 25 } { 6 }$\\
(3) $\frac { 144 } { 5 }$\\
(4) $\frac { 288 } { 5 }$