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Let z(1) and z(2) be two given complex...

Let ` z_(1) and z_(2) ` be two given complex numbers. The locus of z such that
`{:("Column -I", " Column -II"),( "(A) " |z-z_(1)|+|z-z_(2)| = " constant =k, where " k ne|z_(1)-z_(2)|, " (p) Circle with " z_(1) and z_(2) " as the vertices of diameter"),("(B)" |z-z_(1)|- |z-z_(2)|= " k where " k ne |z_(1)-z_(2)| ," (q) Circle "),("(C)"arg((z-z_(1))/(z-z_(2)))=+- pi/2 , " (r) Hyperbola "),("(D) If "omega" lies on " |omega| = 1 " then " 2007/omega " lies on " , " (s) Ellipse"):}`

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A(s) , B( r), C(p,q) , D(q)
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