Step 1: Goal.
Choose the playwrights whose language of writing is Marathi.
Step 2: Sort the four by language.
Tendulkar: Marathi.
Badal Sircar: Bengali, and he is known for Third Theatre in Kolkata.
Girish Karnad: Kannada, though he also translated his own plays into English.
Mahesh Elkunchwar: Marathi, from Nagpur.
Step 3: Form the set.
The Marathi group is A and D. B and C belong to other languages.
Step 4: Compare with the choices.
Choice 1 includes B, so it is wrong.
Choice 2 has A and D only, so it is correct.
Choice 3 includes all four, so it is wrong.
Choice 4 has B, C and D, which drops A, so it is wrong.
Always read the options slowly and match each name with a clear fact you know about it. Names that sound close can belong to very different traditions, so do not guess from the sound of a name alone. Writing the key fact next to each name, as done above, makes the elimination quick and safe. This habit also helps in similar questions on theatre personalities, plays and groups.
Final Answer:
The Marathi playwrights are A and D, so the answer is option 2.
\[ \boxed{\text{Option 2}} \]