Complex Numbers and Quadratic Equations – JEE Advanced Previous Year Questions (2010–2026)

All 19 JEE Advanced previous-year questions from Complex Numbers and Quadratic Equations (Maths), 2010–2026, taken from 12 papers. Practise them together in one test with the official marking and answer key, then review every answer.

▶ Practise all 19 questionsAll JEE Advanced chapters

Complex Numbers and Quadratic Equations questions by paper

Sample questions

• JEE Advanced 2026 Paper 1
  Match each entry in List-I to the correct entry in List-II and choose the correct option List-I If a and are the distinct roots of the 1 1 0 equation 1 0 then the…
• JEE Advanced 2023 Paper 1
  Let be a complex number satisfying 227 0 where denotes the complex conjugate of Let the imaginary part of be nonzero Match each entry in List-I to the correct entries…
• JEE Advanced 2019 Paper 1
  Let be the set of all complex numbers satisfying 2 If the complex number is 1 1 such that is the maximum of the set to then the principal argument of 4 2 a A a 2
• JEE Advanced 2019 Paper 1
  Let 1 bea cube root of unity Then the minimum of the set la a distinct non-zero integers equals

Question text shown from the scanned paper; open the test to see each question exactly as printed.

More Maths chapters

• Relations and Functions 7
• Trigonometric Functions 19
• Permutations and Combinations 18
• Binomial Theorem 7
• Sequences and Series 15
• Straight Lines 3
• Conic Sections 45
• Three Dimensional Geometry 13
• Limits and Derivatives 11
• Statistics 2
• Probability 23
• Inverse Trigonometric Functions 11
• Matrices 18
• Determinants 7
• Continuity and Differentiability 10
• Application of Derivatives 21
• Integrals 19
• Application of Integrals 7
• Differential Equations 10
• Vector Algebra 19