Mathematics · JEE

Easy 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+z2|z|+|z-2| is
Q2MathsUnit 2: Complex Numbers and Quadratic Equations
In the Argand's plane, the locus of z(z(\neq 1) such that arg{32(2z25z+33z2z2)}=2π3is\arg \left\{\frac{3}{2}\left(\frac{2 z^{2}-5 z+3}{3 z^{2}-z-2}\right)\right\}=\frac{2 \pi}{3} i s
Q3MathsUnit 2: Complex Numbers and Quadratic Equations
If z21=z2+1,\left|\mathbf{z}^{2}-\mathbf{1}\right|=|\mathbf{z}|^{2}+\mathbf{1}, then z\mathbf{z} lies on
Q4MathsUnit 2: Complex Numbers and Quadratic Equations
If z=1i1+i,z=\sqrt{\frac{1-i}{1+i}}, then arg z=z=
Q5MathsUnit 2: Complex Numbers and Quadratic Equations
If z1,z2,εCz_{1}, z_{2}, \varepsilon C are such that z1+z22=\left|z_{1}+z_{2}\right|^{2}= z12+z22\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2} then z1z2\frac{z_{1}}{z_{2}} is
Q6MathsUnit 2: Complex Numbers and Quadratic Equations
Calculate all solutions of z1×z|z-1| \times \mid z- 1=1\mathbf{1} \mid=\mathbf{1}

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