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If both the MOSFET’s are identical and have channel length modulation, what is the output impedance at node S?

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If both the MOSFET’s are identical and have channel length modulation, what is the output impedance at node S?

(a) R1 || ro1 || ro2

(b) R1 + (ro1 || ro2)

(c) R1 + (ro1 + ro2)

(d) R1 || (ro1 + ro2)

I had been asked this question in homework.

This interesting question is from MOSFET Amplifier with CS Configuration topic in division FET Amplifiers of Analog Circuits

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Correct answer is (a) R1 || ro1 || ro2

Easiest explanation: If we perform a small signal analysis at node S, we will find that three resistors are connected from node S to ground. They are R1, and the resistances appearing between source and drain of the MOSFET’s due to channel length modulation ie ro1 and ro2. Hence, the output resistance is R1 || ro1 || ro2.

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