Complex Numbers and Quadratic Equations
Complex numbers as ordered pairs; representation in argand plane; algebra of complex numbers; modulus and argument; triangle inequality; quadratic equations in real and complex number system; relations between roots and coefficients; nature of roots; formation of quadratic equations with given roots.
Test yourself on Complex Numbers and Quadratic Equations
5 real JEE Main questions with instant answers — no signup, ~3 minutes.
Study notes are still being prepared.
Don't wait — Shishya can teach you this topic right now, on demand.
Ask Shishya to teach this →Need more? Ask Shishya
Shishya is your personal tutor for this topic. Pick a starter or open a free chat.
- Go deeper on this topicGo deeper on Complex Numbers and Quadratic Equations for JEE Main — examples and edge cases I should know.
- Show me exam shortcutsGive me 3 fastest shortcuts to solve Complex Numbers and Quadratic Equations questions in the exam.
- What mistakes should I avoid?What are the most common mistakes students make on Complex Numbers and Quadratic Equations? How do I avoid them?
- Quiz me adaptivelyQuiz me on Complex Numbers and Quadratic Equations — start with one easy question, then go harder based on how I answer.
Practice this topic
Take a full mock →Q1 · Complex Numbers and Quadratic Equations · EASY
If z = 3 + 4i, then the value of |z|² is:
Q2 · Complex Numbers and Quadratic Equations · EASY
If one root of the equation x² - 6x + k = 0 is twice the other root, then the value of k is:
Q3 · Complex Numbers and Quadratic Equations · MEDIUM
The argument of the complex number (1 + i)/(1 - i) is:
Q4 · Complex Numbers and Quadratic Equations · MEDIUM
If α and β are the roots of x² + px + q = 0, then the equation whose roots are α² and β² is:
Q5 · Complex Numbers and Quadratic Equations · HARD
If z₁ and z₂ are two complex numbers such that |z₁| = |z₂| and arg(z₁) + arg(z₂) = π, then z₁ + z₂ equals: