Let:
L₁ = {0ⁿ1ⁿ0ᵐ | n ≥ 1, m ≥ 1}
L₂ = {0ⁿ1ᵐ0ᵐ | n ≥ 1, m ≥ 1}
L₃ = {0ⁿ1ⁿ0ⁿ | n ≥ 1}
Which of the following are correct statements?
A. L₃ = L₁ ∩ L₂
B. L₁ and L₂ are context-free languages, but L₃ is not a context-free language.
C. L₁ and L₂ are not context-free languages, but L₃ is a context-free language.
D. L₁ is a subset of L₃
Choose the correct answer from the options below.