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Complex Numbers

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Q.

If z is any complex number satisfying  then the minimum value of  

Q.

Let  be the solution of x3 – 1 = 0 with  If a = 2. With b and csatisfying 

Then the value of  is equal to

Q.

 and a, b, c, x, y, z be non-zero complex number such that

       a + b + c = x

      a + bw2 + cw2 =  y

     a + bw2 + cw = z

Q.

Let z be a complex number such that the imaginary part of z is non-zero and a = z2z + 1 is real. Then, a cannot take the value

Q. Complex Numbers?

Complex Numbers