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Modulus and argument (or amplitude) of a complex number MCQs 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∣|z|+|z-2| is
Q2MathsUnit 2: Complex Numbers and Quadratic Equations
If ∣z2−1∣=∣z∣2+1,\left|\mathbf{z}^{2}-\mathbf{1}\right|=|\mathbf{z}|^{2}+\mathbf{1}, then z\mathbf{z} lies on
Q3MathsUnit 2: Complex Numbers and Quadratic Equations
If z=1−i1+i,z=\sqrt{\frac{1-i}{1+i}}, then arg z=z=
Q4MathsUnit 2: Complex Numbers and Quadratic Equations
If z1,z2,εCz_{1}, z_{2}, \varepsilon C are such that ∣z1+z2∣2=\left|z_{1}+z_{2}\right|^{2}= ∣z1∣2+∣z2∣2\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2} then z1z2\frac{z_{1}}{z_{2}} is

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