Complex Number and Quadratic Equations
If z1,z2 are complex numbers such that Re (z1)=∣z1−2∣,Re(z2)=∣z2−2∣ and Arg(z1−z2)=π/3, then Im(z1+z2)=
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If ∣∣z2z1∣∣=1 and arg(z1z2)=0, then
If (1@i1+i)=1 then
If z1=5+12i and ∣z2∣=4, then
If z1=a+i1,a=0 and z2=1+bi1, b=0 are such that z1=zˉ2 then
Write [2(cos30o+isin30o)]2 in the form a + bi.
One value of (1+i)1/2 is 21/4eiπ/8. The other value is