Step 1: Identify the most important livestock in India. Cattle and buffaloes are considered the most important livestock in India, used for milk, meat, and agricultural purposes.
Step 2: Analyze the options. - Elephants, though culturally important, are not primarily used for milk or agricultural purposes.
- Dogs and cats are pets, not considered important livestock.
- Cattle and buffaloes are essential for agriculture, dairy, and meat production in India.
Conclusion: The correct answer is (B) Cattles and buffaloes.
Let the function $ f(x) $ be defined as follows: $$ f(x) = \begin{cases} (1 + | \sin x |)^{\frac{a}{|\sin x|}}, & -\frac{\pi}{6}<x<0 \\b, & x = 0 \\ \frac{\tan 2x}{\tan 3x}, & 0<x<\frac{\pi}{6} \end{cases} $$ Then the values of $ a $ and $ b $ are: