Let \( A \equiv(0,0), B \equiv(4,0) \) and on segment \( A B \) is given a point \( M \). On the... VIDEO
Let \( A \equiv(0,0), B \equiv(4,0) \) and on segment \( A B \) is given a point \( M \). On the same side of \( A B \) squares \( A M C D \) and \( B M F E \) are constructed above \( A B \). The circumcircles \( S_{1} \) and \( S_{2} \) of two squares \( A M C D \) and \( B M F E \) respectively whose centres are \( P \) and \( Q \), intersect in \( M \) and another point \( N \). For all positions of \( M \) varying along the segment \( A B \), the lines \( M N \) passes through the fixed point \( R(a, b) \), then \( a+b= \)https://bit.ly/YTAI_PWAP https://www.pw.live
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