Step 1: Concept
In Carnatic music, a composer often adopts a mudra (a signature or seal) to identify their compositions. This practice helps in recognizing the authorship of musical pieces.
Step 2: Meaning
A mudra is essentially a symbol or mark that composers use to indicate their identity when they write or perform music. It can be a name, an abbreviation, or any other distinctive mark.
Step 3: Analysis
Given the correct answer B: Pattanam Subrahmanya Iyer and Manambuchavati Venkatasubbayyar adopted 'Venkatesha' as their mudra. We need to verify this by understanding that both composers are known for using this specific mudra in their compositions.
Veena Kuppayyar, while a significant figure in Carnatic music, is not associated with the mudra 'Venkatesha'. Similarly, Tiruvottiyur Tyagayyar and Aanayya do not use 'Venkatesha' as their mudra. Manambuchavati Venkatasubbayyar, however, is indeed known for using 'Venkatesha' as her mudra.
Step 4: Conclusion
Both Pattanam Subrahmanya Iyer and Manambuchavati Venkatasubbayyar are correctly identified as composers who adopted the mudra 'Venkatesha'.
Final Answer: (B)