Question

if z1, z2 and z3,z4 are pairs of conjugate numbers then find arg(z1/z4)+arg(z2/z3)=0

Answer 1

Answer:

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Let z1 has argument A then argument of Z2 would be -A, and let z3 has an argument B, then argument for Z4 =-B

So arg(Z1/Z4) = A - (-B) = A+B and arg(Z2/Z3) = -(A+B) so answer is 0