Rajya Sabha has equal powers with Lok Sabha in

The correct option is amending the Constitution.

Under the Indian constitutional framework, the Parliament consists of two houses: the Lok Sabha (House of the People) and the Rajya Sabha (Council of States). While the Lok Sabha enjoys greater power in financial matters (like Money Bills), both houses possess co-equal powers in several key legislative aspects, particularly regarding constitutional amendments.
Let us examine the powers of Rajya Sabha in comparison to Lok Sabha across the given options to understand why they have equal powers in amending the Constitution:

1. Amending the Constitution (Co-equal Powers):
According to Article 368 of the Constitution of India, an amendment bill can be initiated in either House of Parliament. For the bill to pass, it must be approved by each House by a special majority (a majority of the total membership of that House and a majority of not less than two-thirds of the members of that House present and voting).
Crucially, there is no provision for a joint sitting of both houses to resolve a deadlock on a Constitutional Amendment Bill. This means if the Rajya Sabha rejects a constitutional amendment bill passed by the Lok Sabha, the bill fails. Thus, the Rajya Sabha enjoys equal powers with the Lok Sabha in this matter.

2. Creating New All India Services (Rajya Sabha has special power):
Under Article 312 of the Constitution, the Rajya Sabha has a unique power. It can pass a resolution supported by not less than two-thirds of the members present and voting to declare that it is necessary or expedient in the national interest to create one or more All India Services. The Lok Sabha does not have the power to initiate this resolution, meaning Rajya Sabha's power is superior in this specific domain, rather than equal.

3. Removal of the Government (Lok Sabha has superior power):
The Council of Ministers is collectively responsible only to the Lok Sabha (Article 75(3)). Consequently, a No-Confidence Motion (to remove the government) can only be introduced and passed in the Lok Sabha. The Rajya Sabha cannot pass a motion of no-confidence to remove the Council of Ministers.

4. Making Cut Motions (Lok Sabha has exclusive power):
Cut motions are introduced to oppose or reduce the demands for grants proposed in the budget. Since the budget and money-related demands are exclusive domains of the Lok Sabha, cut motions can only be moved in the Lok Sabha. The Rajya Sabha has no power to vote on demands for grants or move cut motions.