jee-main 2020 Q57

jee-main · India · session1_09jan_shift2 Conic sections Focal Chord and Parabola Segment Relations
If one end of a focal chord $AB$ of the parabola $y ^ { 2 } = 8 x$ is at $A \left( \frac { 1 } { 2 } , - 2 \right)$, then the equation of the tangent to it at $B$ is:
(1) $2 x + y - 24 = 0$
(2) $x - 2 y + 8 = 0$
(3) $x + 2 y + 8 = 0$
(4) $2 x - y - 24 = 0$
If one end of a focal chord $AB$ of the parabola $y ^ { 2 } = 8 x$ is at $A \left( \frac { 1 } { 2 } , - 2 \right)$, then the equation of the tangent to it at $B$ is:\\
(1) $2 x + y - 24 = 0$\\
(2) $x - 2 y + 8 = 0$\\
(3) $x + 2 y + 8 = 0$\\
(4) $2 x - y - 24 = 0$