NDA2025MathematicsTrigonometric Ratios & IdentitiesActual
For the following two (02) items: Let A + B = p and A + B = q . What is p q equal to?
Options
- A( A-B 2 )
- B( A-B 2 )
- C( A+B 2 )
- D( A+B 2 )
Correct 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 )