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Complex Numbers Questions

Practice 23 Complex Numbers questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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23
Total Questions
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1
Easy
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21
Medium
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1
Hard
Practice by Exam:Mathematics(23)

About Complex Numbers — practice questions, PYQs & concepts

Complex Numbers is a frequently-tested topic on Mathematics. ExamTest.live currently lists 23 Complex Numbers questions spanning previous-year papers from 2004 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Complex Numbers weight in competitive exams

Across our Complex Numbers question bank, the largest sources are Mathematics (23). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 1 easy Complex Numbers questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Complex Numbers Questions(1–23 of 23)

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Q1mediummcqMathematicsMathematics Mock Test - 102026
36% accuracy
If and if and are angles of a triangle, then is a solution to where . What are the values of ?
Q2mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
If for a matrix , , where is the identity matrix of order 2, then can be:
Q3mediummcqMathematicsAIEEE 20062026
0% accuracy
If , where is a complex number, then the value of is:
Q4mediummcqMathematicsAIEEE 20072026
0% accuracy
If , then the maximum value of is:
Q5mediummcqMathematicsAIEEE 20062026
0% accuracy
The value of is:
Q6mediummcqMathematicsAIEEE 20092026
Let and denote the statements: If , then:
Q7mediummcqMathematicsAIEEE2026
If and are two non-zero complex numbers such that , then is equal to:
Q8mediummcqMathematicsAIEEE2026
If and , then lies on:
Q9mediummcqMathematicsJEE Main2026
If is a complex number of unit modulus and argument , then equals:
Q10mediummcqMathematicsAIEEE 20122026
If and is real, then the point represented by the complex number lies:
Q11mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
If is a cube root of unity, and . Then equals:
Q12hardmcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
Let be real and be a complex number. If has two distinct roots on the line , then it is necessary that:
Q13easymcqMathematicsAIEEE2026
The number of complex numbers such that equals:
Q14mediummcqMathematicsAIEEE 20092026
If , then the maximum value of is equal to:
Q15mediummcqMathematicsAIEEE-CBSE-ENG-032026
If , then:
Q16mediummcqMathematicsAIEEE2026
The conjugate of a complex number is . Then the complex number is:
Q17mediummcqMathematicsAIEEE-CBSE-ENG-032026
Let and be two roots of the equation , being complex. Further, assume that the origin, and form an equilateral triangle, then:
Q18mediummcqMathematicsAIEEE2026
If the cube roots of unity are , then the roots of the equation are:
Q19mediummcqMathematicsAIEEE-CBSE-ENG-032026
If and are two non-zero complex numbers such that , and , then is equal to:
Q20mediummcqMathematicsAIEEE-CBSE-ENG-032026
If are the cube roots of unity, then is equal to:
Q21mediummcqMathematicsAIEEE 20042004
0% accuracy
If and then is equal to
Q22mediummcqMathematicsAIEEE 20042004
0% accuracy
Let be complex numbers such that and Then equals
Q23mediummcqMathematicsAIEEE 20042004
0% accuracy
If then lies on

Frequently Asked Questions

How many Complex Numbers questions are on ExamTest.live?▼
We have 23 Complex Numbers questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Complex Numbers MCQs free?▼
Yes. All Complex Numbers questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Complex Numbers questions?▼
Complex Numbers questions are commonly asked in Mathematics. You can filter by exam using the links above.
How do I practice Complex Numbers questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.