What is a good free software to draw complicated Venn diagrams?

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The important feature I want is this : I would like to draw two sets as say ovals in solid line but I would like to have the border line in some neighborhood of their two intersection points to be dashed. This I want so as to indicate that I am not sure if these two sets intersect or not.

What is a simple and hopefully available online software to do this?

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There are 2 best solutions below

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You can try eulerAPE. It is available online via this link.

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Geogebra would best suit your purpose.