Power of Impeachment can be a distinguishing factor between which of the following?

Correct option is D

The correct option is D. Rajya Sabha & Vidhan Parishad.
Explanation
The power of impeachment is a procedure primarily vested with the Indian Parliament (both Lok Sabha and Rajya Sabha) for the removal of high officials like the President and judges of the Supreme Court and High Courts.
The Rajya Sabha (the upper house of the Parliament) has a role in the impeachment process.
The Vidhan Parishad (the upper house of a State Legislature) has no such power of impeachment.
Thus, the presence of the power of impeachment in one and its absence in the other makes it a distinguishing factor between the Rajya Sabha & Vidhan Parishad.
Why other options are incorrect
A. Lok Sabha & Rajya Sabha: The power of impeachment can be initiated in either House of the Parliament, so it is a shared power, not a distinguishing factor between them.
B. Vidhan Sabha & Vidhan Parishad: Neither of these state legislative bodies has the power to impeach the President or Union judges. The Vidhan Sabha can, however, pass a no-confidence motion against the state government.
C. Lok Sabha & Vidhan Sabha: The power of impeachment is a central/parliamentary power (Lok Sabha is a house of Parliament), while the Vidhan Sabha is a state legislative body and does not possess this power. However, the most appropriate comparison to highlight the difference in power regarding impeachment is between the two upper houses (Rajya Sabha and Vidhan Parishad) as commonly framed in Indian polity questions, where Rajya Sabha has a role and Vidhan Parishad has none.