Complex Number and Quadratic Equations
Check whether the following are quadratic equations:2x2−3x+5=0
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If the multiplicative inverse of a complex number is 193+4i where i=−1, then find complex number.
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)=
If (1+i3)1999=a+ib, then
Find real θ such that 1−2 i cosθ 1+i cosθ is purely imaginary
If z1=a+i1,a=0 and z2=1+bi1, b=0 are such that z1=zˉ2 then
If 8iz3+12z2−18z+27i=0, find 4∣z∣2.