If `Z_1,Z_2` are two complex numbers such that `Z_1+Z_2` is a complex no and `Z_1Z_2` is real n...

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For any two complex numbers z1 and z2, prove that Re (z1z2) = Re z1 Re z2 – Im z1 Im z2 For any two complex numbers z1 and z2, prove that Re (z1z2) = Re z1 Re z2 – Im z1 Im z2
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If `z_1, z_2` are complex number such that `(2z_1)/(3z_2)` is purely imaginary number, then find... If `z_1, z_2` are complex number such that `(2z_1)/(3z_2)` is purely imaginary number, then find...
If z1 and z2 are two complex numbers such that z2/z1 is a purely imaginary number, then |2z1+3z2| = If z1 and z2 are two complex numbers such that z2/z1 is a purely imaginary number, then |2z1+3z2| =
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