Goodmarks

Mathematics · JEE

Modulus and argument (or amplitude) of a complex number Revision for JEE

6+ syllabus-aligned questions available

Quick answer

Revise Modulus and argument (or amplitude) of a complex number by covering every subtopic once, drilling formulas, then solving 6+ timed MCQs with full solutions.

Use this Modulus and argument (or amplitude) of a complex number revision checklist before mocks and the final exam. Reinforce concepts with 6+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: Modulus and argument (or amplitude) of a complex number
  2. 2.Relates to other subtopics in Complex Numbers and Quadratic Equations
  3. 3.Argand diagram, modulus, argument
  4. 4.Roots of quadratics, relation with coefficients
  5. 5.Master Modulus and argument (or amplitude) of a complex number definitions and standard results
  6. 6.Solve 20 timed MCQs for Modulus and argument (or amplitude) of a complex number

Syllabus context

Part of Complex Numbers and Quadratic Equations in JEE Main Mathematics.

Free sample questions

Attempt 6 free MCQs for Modulus and argument (or amplitude) of a complex number. Unlock the full bank with Pro.

Unlock full bank
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
In the Argand's plane, the locus of z(≠z(\neq 1) such that arg⁡{32(2z2−5z+33z2−z−2)}=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 ∣z2−1∣=∣z∣2+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=1−i1+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+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
Q6MathsUnit 2: Complex Numbers and Quadratic Equations
Calculate all solutions of ∣z−1∣×∣z−|z-1| \times \mid z- 1∣=1\mathbf{1} \mid=\mathbf{1}

Want unlimited Modulus and argument (or amplitude) of a complex number practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started freeView Pro plans

Popular questions in Modulus and argument (or amplitude) of a complex number

Frequently asked questions

How should I revise Modulus and argument (or amplitude) of a complex number before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

Related topics