Let `theta_1 , theta_2 , … , theta_(10)` be positive valued angles (in radian) such that `theta_1+theta_2+ … +theta_(10)=2pi`. Define the complex numbers `z_1=e^(itheta_(1)) ,z_k= z_(k-1)e^(itheta_(k))` for `k = 2, 3, … , 10`, where `i = sqrt(−1)` . Consider the statements ? and ? given below:
`P:abs(z_2-z_1)+abs(z_3-z_2)+ . . . +abs(z_(10)-z_9)+abs(z_1-z_(10)) le 2pi`
`Q:abs(z_2^2-z_1^2)+abs(z_3^2-z_2^2)+ . . . +abs(z_(10)^2-z_9^2)+abs(z_1^2-z_(10)^2) le 4pi` Then

Options

A. P is `"TRUE"` and Q id `"FALSE"`
B. Q is `"TRUE"` and P id `"FALSE"`
C. both P and Q are `"TRUE"`
D. both P and Q are `"FALSE"`