NDA2020MathematicsTrigonometric Ratios & IdentitiesActual
Paragraph: Read the following information and answer: Let 3 A A =K , where A 0 and K 1 3 . Question: What is ^2 A equal to?
Options
- AK+3 3 K-1
- BK-3 3 K-1
- C3 K-3 K-3
- DK+3 3 K+1
Correct answer
B. K-3 3 K-1
Step-by-step solution
aligned & 3 A A =K & 3 A- ^3 A A (1-3 ^2 A ) =K & (3- ^2 A ) (1-3 ^2 A ) =K aligned aligned & 3- ^2 A=K-3 K ^2 A & (3 K-1) ^2 A=K-3 ^2 A= K-3 (3 K-1) aligned