If a = p / (p + q) and b = q / (p - q), then and ab/a +

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If a = p / (p + q) and b = q / (p - q), then and ab/a + b is equal to

1. pq / (p² + q²)
2. (p² + q²) / pq
3. p / (p + q)
4. [p / (p + q)]²

Correct Option: A

ab/(a + b) = [p/(p + q)] x [q/(p - q)] / [p/(p + q) + q/(p - q)]
= pq/p² - pq + pq + q²
= pq/(p² + q²)