NDA2011MathematicsTrigonometric Ratios & IdentitiesActual
What is the value of 9^ - 27^ - 63^ + 81^ ?
Options
- A1
- B2
- C3
- D4
Correct answer
D. 4
Step-by-step solution
aligned & We have, 9^ - 27^ - 63^ + 81^ & = ( 9^ + 81^ )- ( 27^ + 63^ ) & = 1 9^ 81^ - 1 27^ 63^ & = 1 9^ 9^ - 1 27^ 27^ & = 2 18^ - 2 54^ & =2 [ 54^ - 18^ 54^ 18^ ] & =2 [ 2 36^ 18^ 18^ 36^ ]=2 2=4 . aligned