Show that :
`bar( z_(1) + z_(2)) = bar(z_(1)) + bar( z_(2))`

If z_(1) = 3+ 2i and z_(2) = 2-i then verify that (i) bar(z_(1) + z_(2)) = barz_(1) + barz_(2)

Let z_(1), z_(2), z_(3) be three non-zero complex numbers such that z_(1) bar(z)_(2) = z_(2) bar(z)_(3) = z_(3) bar(z)_(1) , then z_(1), z_(2), z_(3)

Im ((1) / (z_ (1) bar (z) _ (1)))

Let A(z_(1)),B(z_(2)) are two points in the argand plane such that (z_(1))/(z_(2))+(bar(z)_(1))/(bar(z)_(2))=2. Find the value of

If arg (bar (z) _ (1)) = arg (z_ (2)) then

Let z_(1),z_(2) be two distinct complex numbers with non-zero real and imaginary parts such that "arg"(z_(1)+z_(2))=pi//2 , then "arg"(z_(1)+bar(z)_(1))-"arg"(z_(2)+bar(z)_(2)) is equal to

If z_(1)=2-i, z_(2)=1+ 2i, then find the value of the following : (i) Re((z_(1)*z_(2))/(bar(z)_(2))) (ii) Im (z_(1)*bar(z)_(2))

Let z_(1) and z_(2) be two complex numbers such that bar(z)_(1)+bar(iz)_(2)=0 and arg(z_(1)z_(2))=pi then find arg(z_(1))