Complex Numbers and Quadratic Equations
If z is a complex number of constant modulus such that z2 is purely imaginary then the number of possible values of z is?
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The value of i1+3+5+.....+(2n+1) is________.
If ∣z1∣=1,∣z2∣=2,∣z3∣=3 and ∣9z1z2+4z1z3+z2z3∣=12, then find the value of ∣z1+z2+z3∣.
If z=1+i, then the multiplicative inverse of z2 is (where i=−1)
Additive inverse of 1−i is
a+ib=(1+i3)300 then a= _____ and b= ______
If (1−i1+i)3−(1+i1−i)3=x+iy, find (x, y)