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Two fixed points A and B are taken on th...

Two fixed points `A` and `B` are taken on the coordinates axes such that `O A=a` and `O B=b` . Two variable points `A '` and `B '` are taken on the same axes such that `O A^(prime)+O B^(prime)=O A+O Bdot` Find the locus of the point of intersection of `A B^(prime)` and `A^(prime)Bdot`

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