JEE Main2011MathematicsComplex NumberActual
If ( 1) is a cube root of unity, and (1+ )^7=A+B . Then (A, B) equals
Options
- A(1,1)
- B(1,0)
- C(-1,1)
- D(0,1)
Correct answer
A. (1,1)
Step-by-step solution
1+ =- ^2(1+ )^7= (- ^2 )^7=- ¹⁴=- ^2=1+ =A+B (A, B)=(1,1)