ν is a real number
l1+i*zl^ν =1
so l1+i*zl =1
let z = x + iy
so l1+i*(x+iy)l =1
so | (1-y) + ix| = 1
so (1-y)^2 + x^2 = 1
or x^2 + (y-1)^2 = 1
math kp
|1+iz| = v th root of 1 = 1. Because LHS is a real number so RHS is also a real and +ve number being modulus of a complex number.
So 1 + iz = 1
so iz = 0
so z = 0.
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
l1+i*zl^ν =1
so l1+i*zl =1
let z = x + iy
so l1+i*(x+iy)l =1
so l1+i*(x+iy)l =1
so | (1-y) + ix| = 1
so (1-y)^2 + x^2 = 1
or x^2 + (y-1)^2 = 1
math kp
|1+iz| = v th root of 1 = 1. Because LHS is a real number so RHS is also a real and +ve number being modulus of a complex number.
So 1 + iz = 1
so iz = 0
so z = 0.