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Friday, 9 October

JEE Main Maths · Complex Numbers and Quadratic Equations

Symmetric Functions

Symmetric Functions (Complex Numbers and Quadratic Equations) was asked 5 times in 5 JEE Main shifts, 2022–2026, out of the 42 shifts Lumi analysed.

Times asked
5
in 5 shifts
Years
2022–2026
Usual format
Single correct
Multi-step
Pattern
Frequent
repeats across shifts

How it is asked

  • Value from roots of linked quadratics
  • Sum of roots-squared of complex equation

Difficulty

Easy 0Medium 4Hard 1

Where it sits

Chapter: Complex Numbers and Quadratic Equations. Topic: Quadratic Roots, 46 questions over 19 ideas.

Other repeat ideas in this topic

Every time it came

All 5 questions

Newest first, each with its options and official answer.

  1. 2 Apr 2026, Shift 2 · Q1Let α,β\alpha, \beta be the roots of the equation x2−3x+r=0x^2 - 3x + r = 0, and α2,2β\frac{\alpha}{2}, 2\beta be the roots of the equation…MediumSingle correct
  2. 3 Apr 2025, Shift 1 · Q4Let z∈Cz \in \mathbb{C} be such that z2+3iz−2+i=2+3i\frac{z^2 + 3i}{z - 2 + i} = 2 + 3i. Then the sum of all possible values of z2z^2 isMediumSingle correct
  3. 31 Jan 2024, Shift 2 · Q3Let z1z_1 and z2z_2 be two complex numbers such that z1+z2=5z_1+z_2=5 and z13+z23=20+15iz_1^3+z_2^3=20+15i. Then, ∣z14+z24∣|z_1^4+z_2^4| equals -HardSingle correct
  4. 24 Jun 2022, Shift 1 · Q7If the sum of the squares of the reciprocals of the roots α\alpha and β\beta of the equation 3x2+λx−1=03x^2+\lambda x-1=0 is 15, then…MediumSingle correct
  5. 29 Jun 2022, Shift 1 · Q8Let α\alpha and β\beta be the roots of the equation x2+(2i−1)=0x^2 + (2i - 1) = 0. Then, the value of ∣α8+β8∣|\alpha^8 + \beta^8| is equal to :MediumSingle correct