# The mysterious point

Geometry Level 5

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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