Let z be a non-zero complex number Then what is `z^(-1)` (multiplicative inverse of z) equal to ?

Let z be any non zero complex number then arg z + arg barz =

If z is any non-zero complex number, prove that the multiplicative inverse of z is bar z/(|z|^2) . Hence express the following numbers in the form x + iy, where x , y in R : (4- sqrt(-9))^(-1) .

If z is any non-zero complex number, prove that the multiplicative inverse of z is (overline(z))/(|z|^(2)) . Hence, express (4-sqrt(-9))^(-1) in the form x+iy, where x,y inR

Find the non-zero complex numbers z satisfying z=iz^(2)

Let z be any non-zero complex number. Then arg(z) + arg (barz) is equal to

If z be a non-zero complex number, show that (bar(z^(-1)))= (bar(z))^(-1)

If z and w are two non-zero complex numbers such that z=-w.

Let z be any non-zero complex number. Then pr. arg(z) + pr.arg (barz) is equal to