COMEDK2020MathematicsComplex Number
The amplitude of (1+i)⁵ is
Options
- A-3 4
- B3 4
- C5 4 .
- D-5 4
Correct answer
A. -3 4
Step-by-step solution
Let Z=(1+i)⁵ aligned &= [(1+i)² ]²[1+i] &= [1+i²+2 i ]²[1+i]=(2)²(1+i) &=-4(1+i)=-4-4 i aligned Let be amplitude of z . Then, aligned &= ⁻¹ | -4 -4 |- = ⁻¹(1)- &= 4 - = -3 4 aligned