AP EAMCET2008MathematicsComplex Number
If m₁, m₂, m₃ and m₄ respectively denote the moduli of the complex numbers 1+4 i, 3+i, 1-i and 2-3 i , then the correct one, among the following is
Options
- Am₁ < m₂ < m₃ < m₄
- Bm₄ < m₃ < m₂ < m₁
- Cm₃ < m₂ < m₄ < m₁
- Dm₃ < m₁ < m₂ < m₄
Correct answer
C. m₃ < m₂ < m₄ < m₁
Step-by-step solution
Let z₁=1+4 i, z₂=3+i, z₃=1-i and z₄=2-3 i array ll & m₁= |z₁ |, m₂= |z₂ |, m₃= |z₃ | and & m₄= |z₄ | & m₁= 1+4^2 , m₂= 3^2+1^2 , & m₃= 1^2+1^2 and m₄= 2^2+3^2 & m₁= 17 , m₂= 10 , m₃= 2 and & m₄= 13 & m₃ < m₂ < m₄ < m₁ array