For any complex number w=c+id, let arg(w)∈(-π,π] , wherei=-1. Let α and &#9....

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For any complex number w=c+id, let arg(w)∈(-π,π] , wherei=-1. Let α and β be real numbers such that for all complex numbers z=x+iy  satisfying argz+αz+β=π4, the ordered pair (x,y) lies on the circlex2+y2+5x-3y+4=0
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