Write two properties of DFT$.$ b$)$ Let x$[$n$],01,$ be a length$-$N sequence with an N$-$point DFT $[],01.($i$)$ If x$[$n$]$ is an antisymmetric sequence satisfying the condition $[]=[1],$ show that $[0]=0.($ii$)$ If x$[$n$]$ be an even$-$length sequence and corresponding $[2]=0$ for $021,$ show that $[]=[+2]$