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 Homework Statement
 The question is in Attempt at a solution
 Homework Equations

Triangular inequalities in complex no.
Distance formula
Polar coordinates
All i was able to think was that i have to find a point (x,y) such that sum of its distances from points (0,0),(1,0),(0,1) and (3,4) is minimum.I tried by assuming the point to be centre of circle passing through any of the above 3 points,But it didn't helped me.