If `z=(2+i)/(-2+i)` find `bar(z)`, the conjugate of z in the form a + ib.

If z=sqrt3+i , find the conjugate of Z.

In z=5/(1-3i) then find z.bar z .

let z_1 =1-2i, z_2 =1 and z_3 =3+4i. If z=((1)/z_1+(3)/z_2)(z_3)/z_2 : then express z in the form A + Ib.

Consider the complex number z=1+i+i^(2)+i^(4) (i) Write z in the form a+ib . (ii) Find the conjugate of z. Find z^(2) .

Consider the complex number z=(2+i)/((1+i)(1-2i)) (i) Express z in the form a+ib .

If (1+i)z=(1-i) (bar z) , then show that z=-i bar z

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))

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))

Consider the complex number z=(1+3i)/(1-2i) . Write z in the form a+ib