if z = x + iy be a complex number then the additive inverse of z is

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

The multiplicative inverse of z=x+iy is

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

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

If z is any complex number, then the area of the triangle formed by the complex number z, wz and z+wz as its sides, is

Let z = x + iy be a non - zero complex number such that z^(2) = I |z|^(2) , where I = sqrt(-1) then z lies on the :

If P,P^(') represent the complex number z_(1) and its additive inverse respectively, then the equation of the circle with PP^(') as a diameter is

If Re((z-1)/(z+1))=0 where z=x+iy is a complex number,then which one of the following is correct? (a) z=1+i(b)|z|=2 (c) z=1-i