Some of these arguments need furtheranalysis. The adjective form of the underlined word is -

• Some of these arguments need further analysis. The adjective form of the underlined word is - Analytical.

• Analysis: [noun]
English meaning: the act of studying or examining something in detail, in order to discover or understand more about it, or your opinion and judgment after doing this.
Bangla meaning: বিশ্লেষণ।

Example: 
- Our financial experts conducted an independent analysis of the investment plan's performance.
- I was interested in Clare's analysis of the situation.
- Some of these arguments need further analysis.

• Some of these arguments need further analysis.
Bangla: এই যুক্তিগুলির আরও কিছু বিশ্লেষণ প্রয়োজন।

Options,
ক) Analysize: wrong word.

খ) Analyst: [noun]
English meaning: someone whose job is to study or examine something in detail, in order to discover or understand more about it and often to make predictions (= statements about what will happen in the future) relating to it.
Bangla meaning: বিশ্লেষণে দক্ষ ব্যক্তি।

Example: Some business analysts have warned of reduced profit margins.

গ) Analytical: [adjective]
English meaning: examining or liking to examine things in detail, in order to discover more about them.
Bangla meaning: বিশ্লেষণধর্মী; বিশ্লেষণনির্ভর।

Example: Some students have a more analytical approach to learning.

ঘ) Analyse: [verb]
English meaning: to study or examine something in detail in order to discover or understand more about it.
Bangla meaning: কোনো বস্তু বা পদার্থ বিশ্লেষণ করা।

Example: Researchers analysed the purchases of 6,300 households.

Source: Cambridge Dictionary.