The mysterious point

Geometry Level 4

It is found that given any parabola, it is possible to find a point \(K\) such that \(\frac{l^2}{PK^2}\)+\(\frac{l^2}{KQ^2}\) is a constant where \(P\) and \(Q\) are end points of an arbitrary chord passing through \(K\) and \(l\) is the length of the semi latus rectum of the parabola. Enter the value of this constant.


This problem is part of my set: Geometry

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