Correct option is A
The correct antonym of the given word is (a)
Stabilise.
Falter: To lose strength or momentum; to stumble or hesitate. (Hindi: लड़खड़ाना / हिचकिचाना)
Example: His voice faltered as he announced the bad news.
Stabilise: To make or become unlikely to change, fail, or decline. (Hindi: स्थिर करना)
Example: The medicine helped stabilise her blood pressure.
Synonyms: hesitate, stumble, waver, stagger.
Antonyms: stabilise, persist, continue, remain steady.
Meanings of other options:
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(b) Suspect: To doubt the truth of something (संदेह करना)
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(c) Haunt: To trouble or disturb mentally (पीछा करना)
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(d) Transfer: To move from one place to another (स्थानांतरण करना)