Right answer is (a) 0.067 Ω
The explanation is: Inverse Hybrid parameter g11 is given by, g11 = \(\frac{I_1}{V_1}\), when I2 = 0.
Therefore short circuiting the terminal Y-Y’, we get,
V1 = I1 ((10||10) + 10)
= I1 \(\left(\left(\frac{10×10}{10+10}\right)+10\right)\)
= 15I1
∴ \(\frac{I_1}{V_1} = \frac{1}{15}\) = 0.067 Ω
Hence g11 = 15 Ω.