If z is a complex number such that z is not equal to 0 and Re (z)=0 then show that - Maths - Complex Numbers and Quadratic Equations

Question

If z is a complex number such that z is not equal to 0 and Re (z)=0
then show that Im (z^2)=0

Brijendra Pal · Accepted Answer

Dear Student, Rez=0z = x+iySo z = iy as x = 0 Now, z2 =  iy2= i2y2= -y2So we can see that z2 is free from imaginary term and hence Imz2 =0 Regards

If z is a complex number such that z is not equal to 0 and Re (z)=0 then show that Im (z^2)=0