If X(ω) represents the Fourier transform of an imaginary signal x(t), then which of the following statements about is/are true.

1
X(ω) will be conjugate symmetric in nature
2
X(ω) will be conjugate anti-symmetric in nature
3
Real part of X(ω) will be an odd function of ω and imaginary part of X(ω) will be an even function of ω.
4
Real part of X(ω) will be an even function of ω and imaginary part of X(ω) will be an odd function of ω.

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