Correct Option (b):
Both Lok Sabha and Rajya Sabha possess equal powers in the matter of amending the Constitution. As per Article 368, a Bill for the amendment of the Constitution must be passed by a special majority in each House independently. Failure to pass in either House leads to the lapse of the Bill, and there is no provision for a joint sitting to resolve a deadlock on such Bills.
Incorrect Options:
Option (a): The Rajya Sabha has special powers regarding the creation of new All India Services. Under Article 312, it can initiate the creation of new All India Services by passing a resolution supported by not less than two-thirds of the members present and voting. The Lok Sabha does not have this specific power, indicating unequal powers.
Option (c): The Council of Ministers is collectively responsible only to the Lok Sabha, as stipulated in Article 75(3) of the Constitution. Consequently, the government can be removed from office only by the Lok Sabha through a vote of no-confidence. The Rajya Sabha does not have the power to remove the government.
Option (d): Cut motions are part of the budgetary process, specifically related to the demands for grants. These motions can only be moved and voted upon in the Lok Sabha. The Rajya Sabha can discuss the budget and make recommendations, but it cannot move or vote on cut motions, nor can it reject the budget.