Complex Numbers and Quadratic Equations in JEE Main: weightage, trend and PYQs (2002–2026)

Complex Numbers and Quadratic Equations has appeared in 399 JEE Main questions between 2002 and 2026. In the last five years it ranks #5 of 19 Mathematics chapters by how often it was asked, with 203 questions.

It is being asked more: about 40.6 questions a year in the last five years, up from 27.6 before that.

Year-wise weightage

Counts are questions per year across all sessions and shifts, so years with more shifts naturally have more.

Difficulty and question type

Of the 399 questions, 29% were easy, 60% medium and 11% hard. 72 were numerical-answer questions, so practise getting exact values, not just eliminating options.

Latest Complex Numbers and Quadratic Equations questions

• JEE Main 2026 · 5 Apr Evening shift: Let α, β be the roots of the equation x²-x+p=0 and γ, δ be the roots the equation x²-4x+q=0; p, q Z. If α, β, γ, δ are…
• JEE Main 2026 · 2 Apr Evening shift: Let α, β be the roots of the equation x²-3x+r=0, and (α)/2, 2β be the roots of the equation x²+3x+r=0. If the roots of…
• JEE Main 2026 · 5 Apr Morning shift: Let a, b C. Let α, β be the roots of the equation x² + ax + b = 0. If β - α = √(11) and β² - α² = 3i√(11), then (β³…
• JEE Main 2026 · 2 Apr Evening shift: Let the circles C₁: |z|=r and C₂: |z-3-4i|=5, z, be such that C₂ lies within C₁. If z₁ moves on C₁, z₂ moves on C₂ and…
• JEE Main 2026 · 4 Apr Morning shift: If the set of all solutions of |x²+x-9|=|x|+|x²-9| is [α, β] [γ, ∞), then (α²+β²+γ²) is equal to:
• JEE Main 2026 · 5 Apr Evening shift: Let z₁, z₂ C be the distinct solutions of the equation z²+4z-(1+12i)=0. Then |z₁|²+|z₂|² is equal to:
• JEE Main 2026 · 6 Apr Morning shift: Let one root of the quadratic equation in x: (k²-15k+27)x²+9(k-1)x+18=0 be twice the other. Then the length of the…
• JEE Main 2026 · 4 Apr Evening shift: Let S=: z²+4z+16=0. Then Σ z S |z+ 3 i|² is equal to:

See all 399 with worked solutions on the Complex Numbers and Quadratic Equations chapter page.