Question
For the following two (02) items: Let A + B = p and A + B = q. What is p q equal to?
NDA
Mathematics
Trigonometric Ratios & Identities
2025
NDA 2025 (Phase 2)
NDA Mathematics Question (2025) — Solution
Options
- A. ( A-B 2 )
- B. ( A-B 2 )
- C. ( A+B 2 )
- D. ( A+B 2 )
Answer
C. ( A+B 2 )
Step-by-step solution
Given p = A + B and q = A + B. Using the sum-to-product formulas: p = 2 ( A+B 2 ) ( A-B 2 ) q = 2 ( A+B 2 ) ( A-B 2 ) Dividing p by q: p q = 2 ( A+B 2 ) ( A-B 2 ) 2 ( A+B 2 ) ( A-B 2 ) p q = ( A+B 2 )
Related: Mathematics — Trigonometric Ratios & Identities · All PYQ Banks