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If I wanted to find a point that has minimum squared distance to four other points,...

If I wanted to find a point that has minimum squared distance to four other points, how would I formulate the minimization problem, Also if I had the same problem but with a restriction that the distance from the origin must be at least 20m, how would I include that? would it mean that x^2+y^2>=20?

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Solution:

The solution can easily be taken from the images:

AR we have given that we let a pont in X-y plane and the coordinate of that points are (414) also we have to calculate the mi

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