If $m_1, m_2, m_3$ and $m_4$ 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

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Aicharya · Accepted Answer

Let $z_1=1+4 i, \quad z_2=3+i, \quad z_3=1-i$ and $z_4=2-3 i$ $ \begin{array}{ll} 	herefore & m_1=\left|z_1ight|, m_2=\left|z_2ight|, m_3=\left|z_3ight| \ 	ext { and } & m_4=\left|z_4ight| \ \Rightarrow & m_1=\sqrt{1+4^2}, m_2=\sqrt{3^2+1^2}, \ & m_3=\sqrt{1^2+1^2} 	ext { and } m_4=\sqrt{2^2+3^2} \ \Rightarrow & m_1=\sqrt{17}, m_2=\sqrt{10}, m_3=\sqrt{2} \ 	ext { and } & m_4=\sqrt{13} \ \Rightarrow & m_3 < m_2 < m_4 < m_1 \end{array} $

If $m_1, m_2, m_3$ and $m_4$ respectively denote the moduli of the complex numbers $1+4 i, 3+i, 1-i$ and…

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