Mathematics · JEE

Online Practice: Modulus and argument (or amplitude) of a complex number for JEE

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Q1MathsUnit 2: Complex Numbers and Quadratic Equations

For a complex number z, the minimum value of

|z|+|z-2|

Q2MathsUnit 2: Complex Numbers and Quadratic Equations

\left|\mathbf{z}^{2}-\mathbf{1}\right|=|\mathbf{z}|^{2}+\mathbf{1},

then

\mathbf{z}

lies on

Q3MathsUnit 2: Complex Numbers and Quadratic Equations

z=\sqrt{\frac{1-i}{1+i}},

then arg

z=

Q4MathsUnit 2: Complex Numbers and Quadratic Equations

z_{1}, z_{2}, \varepsilon C

are such that

\left|z_{1}+z_{2}\right|^{2}=

\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2}

then

\frac{z_{1}}{z_{2}}

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