Given the system of differential equations, ξ̈ + (K +K ′)η = K ′η and η̈ + (K +K ′)η = K ′ξ, the introduction of new coordinates q1 = (ξ + η)/3 and...

Given the system of differential equations, ξ̈ + (K +K ′)η = K ′η and η̈ + (K +K ′)η = K ′ξ, the introduction of new coordinates q1 = (ξ + η)/3 and q2 = (ξ − η)/2 leads to the following decoupled differential equations:

q̈1 +Kq1 = 0
q̈2 + (K + 2K ′)q2 = 0
a) I and II are true.
b) Only I is true.
c) Only II is true.
d) Neither I nor II is true.