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Chapter test · Mathematics · Class 11

Complex Numbers and Quadratic Equations

This test asks up to 25 questions on the real pattern and marking, and hands you a concept-by-concept report the moment you finish. It covers 3 key concepts: Complex-number algebra, Quadratic equations and nature of roots and Quadratic expressions and inequalities.

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Questions
Up to 25 — 20 MCQ + 5 numerical
Time
60 minutes, fixed
Marking
JEE Main: +4 / −1 on A, +4 / 0 on B
Class
Class 11 · Mathematics
Report
Concept breakdown + cognitive demand, instantly

What this test covers

3 key concepts, tested the way the exam tests them.

Mapped from EduPeak’s learning framework for this chapter — the same map your report scores you against.

  1. 1
    Complex-number algebra
    • Performs algebra of complex numbers including modulus, conjugate and argument.Apply & Analyse
  2. 2
    Quadratic equations and nature of roots
    • Solves quadratics over R and C and applies discriminant/root-coefficient relations.Apply & Analyse
  3. 3
    Quadratic expressions and inequalities
    • Analyses the sign and extrema of quadratic expressions.Apply & Analyse
Level of thinking demanded3 learning objectives
Recall & understandingApply & AnalyseHigher-order

This chapter is tested mostly at the Apply & Analyse level.

In your board

Where this chapter sits in your syllabus.

The same EduPeak test, found under your own textbook’s chapter name.

  • CBSE
    Complex Numbers and Quadratic Equations
    ✓ in your syllabus
  • Gujarat (GSEB)
    Complex Numbers and Quadratic Equations
    ✓ in your syllabus
  • Madhya Pradesh (MPBSE)
    Complex Numbers and Quadratic Equations
    ✓ in your syllabus
  • Rajasthan (RBSE)
    Complex Numbers and Quadratic Equations
    ✓ in your syllabus
  • Bihar (BSEB)
    Unit-II Algebra — Complex Numbers · Unit-II Algebra — Quadratic Equations and Expressions
    ✓ in your syllabus
  • Uttar Pradesh (UPMSP)
    बीजगणित - सम्मिश्र संख्याएँ तथा द्विघात समीकरण / Complex Numbers and Quadratic Equations
    ✓ in your syllabus
  • ISC (CISCE)
    Algebra - Complex Numbers · Algebra - Quadratic Equations
    ✓ in your syllabus
  • Cambridge International A Level
    Quadratics (P1) · Complex numbers (P3)
    ✓ in your syllabus
  • IB Diploma Programme (HL)
    AHL 1.12 Complex numbers, Cartesian form (Topic 1: Number and algebra) · AHL 1.13 Modulus-argument (polar) and Euler form (Topic 1: Number and algebra) · AHL 1.14 Complex conjugate roots; De Moivre's theorem (Topic 1: Number and algebra) · SL 2.6 The quadratic function (Topic 2: Functions) · SL 2.7 Quadratic equations and inequalities; discriminant (Topic 2: Functions) · AHL 2.12 Polynomial functions; factor and remainder theorems (Topic 2: Functions)
    ✓ in your syllabus
See all chapters in your board’s names →

Try one

A sample question from this chapter.

Drawn fresh from the chapter’s bank on every visit. Reveal the worked solution when you are ready — the way your report explains every question.

SampleMathematics· Numerical+4 / 0
Let the set . Then is equal to _______.
Worked, step by step — the way your report explains every question. Loads on request.
In the real test, every question is fresh from the chapter’s bank — and your report shows the worked solution for each one.

Keep climbing

Related Class 11 Mathematics chapters

Sets, Relations and FunctionsPermutations and CombinationsBinomial TheoremSequences and SeriesLimits, Continuity and DifferentiabilityCoordinate Geometry

Good to know

About this chapter test

How is the test scored?
Exactly like JEE Main: +4 for a correct answer, −1 for a wrong MCQ, and no negative marking on numericals. Your total, pacing and concept-by-concept accuracy appear in your report the moment you submit.
Which class is Complex Numbers and Quadratic Equations in?
Complex Numbers and Quadratic Equations sits in Class 11 Mathematics here. Pick your class when you start — the whole chapter list is organised the same way.
Can I take it more than once?
Yes — each attempt draws from the chapter’s bank, and your report tracks your best and your progress across attempts.
Is it free?
Free chapter tests are included with every account, and each one comes with the complete report. No card needed to start.

25 questions. 60 minutes. One honest answer.

Find out exactly where you stand on this chapter — today.

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