Let z=x+iy and w=u+iv be two complex num...

Let `z=x+iy` and `w=u+iv` be two complex numbers, such that `|z|=|w|=1` and `z^(2)+w^(2)=1.` Then, the number of ordered pairs (z, w) is equal to (where, `x, y, u, v in R and i^(2)=-1`)

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