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Let a tangent to the curve \(y^2=24 x\) meet the curve \(x y=\) 2 at the points \(A\) and \(B\). Then the mid points of …

Q1

Let a tangent to the curve \(y^2=24 x\) meet the curve \(x y=\) 2 at the points \(A\) and \(B\). Then the mid points of such line segments \(A B\) lie on a parabola with the

[JEE Main 2023, 24 Jan (Shift 1)]

a

directrix \(4 x=3\)

b

directrix \(4 x=-3\)

c

Length of latus rectum \(\frac{3}{2}\)

d

Length of latus rectum 2

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