# Compound pendulum clarification?

I read in a book the following about compound pendulum and small displacements:

1. There are two points only for which the time period is minimum.

2. there are maximum 4 points for which the time period is same.

Why is this? Can someone please explain? I am familiar with maximum time period being when $k=l$.
In general, time period is $$T=2\pi \sqrt\frac{k^2+l^2}{lg}$$ for small angle approximation.

$k$=Radius of gyration about the centre of gravity, $l$=distance of point of suspension from Centre of Gravity, $g$=gravity

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