The antonym of the word "Resolute" is -

Correct answer: Hesitant.

• Resolute (Adjective & Noun):
- English Meaning: marked by firm determination: resolved.
- Bangla Meaning: দৃঢ়সংকল্প।

• Hesitant (adjective)
- English meaning: slow to act or proceed (as from fear, indecision, or unwillingness): tending to hesitate: showing or feeling reluctance or hesitation.
- Bangla meaning: দ্বিধান্বিত; চলচিত্ত; দ্বিধাগ্রস্ত; দোলায়মানচিত্ত।

• Other options:
খ) Purposive
- English meaning: serving or effecting a useful function, though not as a result of planning or design.
- Bangla meaning: অভীষ্টসাধনে কৃত; নিষ্ঠারসঙ্গে সম্পাদিত।

গ) Assiduous
- English meaning: showing great care, attention, and effort: marked by careful unremitting attention or persistent application.
- Bangla meaning: অধ্যবসায়ী; প্রযত্নবান; নিষ্ঠাবান।

ঘ) Gallant
- English meaning: সাহসিক; দুঃসাহসিক; অকুতোভয়; উদারচেতা।
- Bangla meaning: সাহসী।

Source:
1. Accessible Dictionary by Bangla Academy.
2. Merriam-Webster Dictionary.