The Z-parameters of a two-port network are Z11 = 2 Ω, Z12 = 1 Ω, Z21 = 10 Ω and Z22 = 11 Ω The corresponding values of hybrid parameters are

Given that, 

Z- parameters.

Z₁ = 2\(\Omega\);Z₁₂ = 1\(\Omega\)

Z₂₁ = 10\(\Omega\);Z₂₂ = 11\(\Omega\)

We know that, 

V₁ = Z₁₁ I₁ + Z₁₂ I₂ \(\Rightarrow\)V₁ = 2I₁ + 1I₂ ....equation 1.

V₂ = Z₂₁ I₁ + Z₂₂ I₂ \(\Rightarrow\)V₂ = 10I₁ + 11I₂ ....equation 2.

Now, calculating h-parameters.

V₁ = h₁₁ I₁ + h₁₂ V₂ 

I₂ = h₂₁ + h₂₂ V₂ 

h₁₁ = \(\frac{V_1}{I_1}|V_2 = 0 \) ; h₁₂ = \(\frac{V_1}{V_2}|I_2 = 0 \)

h₂₁ = \(\frac{I_2}{I_1}|V_2 = 0 \) ; h₂₂ = \(\frac{I_2}{V_2}|I_1 = 0 \)

When V₂ = 0; the equation 2 becomes ; 0 = 10I₁ +11I_2.

I₂ = \(\frac{-10}{11}I_1\) ... equation 3.

\(\frac{I^2}{I^1}=\frac{-10}{11} = \) h₂₁

substitute equation 3 in equation 1; we get

V₁ = 2I₁ + 1[\(\frac{-10}{11} I_1\)]\(\Rightarrow \frac{V_1}{I_1}=\) h₁₁ = \(\frac{12}{11}\Omega\)

When, I₁ = 0; the equation 1 become, V₁ = 1I₂

 Equation 2 becomes, V₂ = 11I_2.

h₁₂ = \( \frac{1}{11}\)

h₂₂ =  \(\frac{I_2}{V_2} = \frac{I_2}{I_2} = \frac{1}{11}\Omega\)

h11 = \(\frac{12}{11}\Omega\)

h₁₂ = \(\frac{1}{11}\)

h₂₁ = \(\frac{-10}{11}\)

h₂₂ = \(\frac{1}{11}\)

Here, option 1 is correct.