If the area of `DeltaABC` be `lamda`, then `a^(2) sin 2B + b^(2) sin 2A` is equal t,o

Options

A. `2lamda`
B. `lamda`
C. `4lamda`
D. none of these

Explanation

To solve the problem, we need to find the value of \( a^2 \sin 2B + b^2 \sin 2A \) in terms of the area \( \Delta ABC = \lambda \).

### Step-by-Step Solution:

1. **Use the double angle identity for sine**:
\[ \sin 2B = 2 \sin B \cos B \quad \text{and} \quad \sin 2A = 2 \sin A \cos A \]
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