Question

If 2apq = (p + q)² - (p - q)², then the value of a is:
1. 2
2. 1
3. 4
4. 8

Answer 1

Correct Answer - Option 1 : 2

Formula Used:

(a + b)² = a² + b² + 2ab

(a – b)² = a2 + b2 – 2ab

Calculation:

2apq = p2 + q2 + 2pq – (p2 + q2 – 2pq)

⇒ 2apq = p2 + q2 + 2pq – p2 – q2 + 2pq

⇒ 2apq = 4pq

⇒ 2apq = 2 × 2 × pq

⇒ a = 2

∴ The value of a is 2.