jee-main 2022 Q65

jee-main · India · session1_26jun_shift2 Conic sections Tangent and Normal Line Problems
The normal to the hyperbola $\frac { x ^ { 2 } } { a ^ { 2 } } - \frac { y ^ { 2 } } { 9 } = 1$ at the point $( 8,3 \sqrt { 3 } )$ on it passes through the point
(1) $( 15 , - 2 \sqrt { 3 } )$
(2) $( 9,2 \sqrt { 3 } )$
(3) $( - 1,9 \sqrt { 3 } )$
(4) $( - 1,6 \sqrt { 3 } )$
The normal to the hyperbola $\frac { x ^ { 2 } } { a ^ { 2 } } - \frac { y ^ { 2 } } { 9 } = 1$ at the point $( 8,3 \sqrt { 3 } )$ on it passes through the point\\
(1) $( 15 , - 2 \sqrt { 3 } )$\\
(2) $( 9,2 \sqrt { 3 } )$\\
(3) $( - 1,9 \sqrt { 3 } )$\\
(4) $( - 1,6 \sqrt { 3 } )$