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

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 pr. arg(z) + pr.arg (barz) is equal to

If z= 4+ 7i be a complex number, then find (i) Additive inverser of z. (ii) Multiplicative inverse of z.

If z is a unimodular complex number then its multiplicative inverse is ( i) bar(z) (ii) z (iii) -z (iv) -bar(z)

Let a = Im((1+z^(2))/(2iz)) , where z is any non-zero complex number. Then the set A = {a : |z| = 1 and z ne +- 1} is equal to

Let a = Im((1+z^(2))/(2iz)) , where z is any non-zero complex number. Then the set A = {a : |z| = 1 and z ne +- 1} is equal to

A non-zero complex number z is uniquely determined if

Let z be a complex number satisfying |z+16|=4|z+1| . Then