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If 1,alpha,alpha^(2),………..,alpha^(n-1) a...

If `1,alpha,alpha^(2),………..,alpha^(n-1)` are the n, `n^(th)` roots of unity and `z_(1)` and `z_(2)` are any two complex numbers such that `sum_(r=0)^(n-1)|z_(1)+alpha^(R ) z_(2)|^(2)=lambda(|z_(1)|^(2)+|z_(2)|^(2))`, then `lambda=`

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