NDA2023MathematicsTrigonometric Ratios & IdentitiesActual
Let p= 1 3 - 3 x x and q=1-3 ^2 x, 0 x , x 2 . What is pq equal to
Options
- A1
- B2
- C8 3
- D- 8 3
Correct answer
D. - 8 3
Step-by-step solution
aligned & Since, P= 1 3 - 3 x x & = 1 3 - 3 x - ^3 x (1-3 ^2 x ) x & = 1-3 ^2 x-9+3 ^2 x 3 (1-3 ^2 x ) = -8 3 (1-3 ^2 x ) & pq = -8 (1-3 ^2 x ) 3 (1-3 ^2 x ) = -8 3 aligned