1.

Let P_(k)(k=1,2,…n) be the nth root of unity. Let z =a +ib and A_(k) = Re(z) Re(P_(k))+i{lm(z)lm(P_(k))} then which of the following is true

Answer»

`A_k` LIES on ELLIPSE
`A_k` lies on hyperbola
If S be the FOCUS of locus of `A_k` then `sum_(k=1)^(n)(A_k)S =na`
If S be the focus of locus of `A_k` then `sum_(k=1)^(n) (A_(k) S)^2 = (n)/(2) (3a^2 - b^2)`

Answer :A, C, and D


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