jee-main 2023 Q64

jee-main · India · session1_24jan_shift1 Conic sections Locus and Trajectory Derivation

Let a tangent to the curve $y ^ { 2 } = 24 x$ meet the curve $x y = 2$ at the points $A$ and $B$. Then the midpoints of such line segments $A B$ lie on a parabola with the
(1) directrix $4 x = 3$
(2) directrix $4 x = - 3$
(3) Length of latus rectum $\frac { 3 } { 2 }$
(4) Length of latus rectum 2

Let a tangent to the curve $y ^ { 2 } = 24 x$ meet the curve $x y = 2$ at the points $A$ and $B$. Then the midpoints of such line segments $A B$ lie on a parabola with the\\
(1) directrix $4 x = 3$\\
(2) directrix $4 x = - 3$\\
(3) Length of latus rectum $\frac { 3 } { 2 }$\\
(4) Length of latus rectum 2

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