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If $L1$ and $L2$ are regular sets then intersection of these two will be :

1. Regular
2. Non Regular
3. Recursive
4. Non Recursive

L1 is regular,L is regular then $L1\cap L2$  is also a regular because regular is closed under intersection.

https://www.geeksforgeeks.org/closure-properties-of-regular-languages/

it is also closed under union, concatenation, kleen closure, set difference, positive closure, complement, reverse operator, homomorphism, inverse homomorphism etc

if L1 and L2 are regular languages, then each of also $L1\cup L2$ , $L1.L2$ and $L1^{*}$ is regular etc.

option A

f L1L1 and L2L2 are regular sets then intersection of these two will be Regular because regular is closed under intersection.

option  A is Correct
Option A) is true as intersection is closed in regular grammars.
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