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he complex number z is defined by z = a + ib, where a and b are real. The complex conjugate of z is denoted by z*.
i) Show that IzI^2 = zz* and (z-ki)* = z* + ki
In an Argand diagram a set of points representing complex numbers z is defined by the equation
I z − 10i I = 2 I z − 4i I.
(ii) Show, by squaring both sides, that zz* − 2iz* + 2iz − 12 = 0.
Hence show that I z− 2i I = 4.
i) Show that IzI^2 = zz* and (z-ki)* = z* + ki
In an Argand diagram a set of points representing complex numbers z is defined by the equation
I z − 10i I = 2 I z − 4i I.
(ii) Show, by squaring both sides, that zz* − 2iz* + 2iz − 12 = 0.
Hence show that I z− 2i I = 4.
