Given a stable and causal system with impulse response h (t) and system function H(s). Let us suppose H(s) is rational, contains a pole at s=-2 and does not have a zero at origin and location of all other zeroes is unknown, poles are present at some unknown location other than the origin. Then,i) H(s) = H(-s)ii) \(\frac{dh(t)}{dt}\) Contains at least one pole in its Laplace transform.Which of the following options is correct?

• A. i – true, ii – true
• B. i – false, ii – true
• C. i – true, ii – false
• D. i – false, ii – false