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Friday, 9 October

JEE Main Maths · Determinants

Evaluating Parameters for Consistency

Evaluating Parameters for Consistency (Determinants) was asked 4 times in 4 JEE Main shifts, 2022–2025, out of the 42 shifts Lumi analysed.

Times asked
4
in 4 shifts
Years
2022–2025
Usual format
Single correct
Multi-step
Pattern
Occasional
repeats across shifts

How it is asked

  • Parameters for infinitely many solutions

Difficulty

Easy 1Medium 2Hard 1

Where it sits

Chapter: Determinants. Topic: Cramer's Rule, 31 questions over 9 ideas.

Other repeat ideas in this topic

Every time it came

All 4 questions

Newest first, each with its options and official answer.

  1. 2 Apr 2025, Shift 2 · Q4If the system of equations 2x+λy+3z=52x + \lambda y + 3z = 5 3x+2y−z=73x + 2y - z = 7 4x+5y+μz=94x + 5y + \mu z = 9 has infinitely many solutions, then…MediumSingle correct
  2. 7 Apr 2025, Shift 1 · Q4Let the system of equations : 2x+3y+5z=92x + 3y + 5z = 9, 7x+3y−2z=87x + 3y - 2z = 8, 12x+3y−(4+λ)z=16−μ12x + 3y - (4+\lambda)z = 16 - \mu, have infinitely many…MediumSingle correct
  3. 7 Apr 2025, Shift 2 · Q5Let the system of equations x+5y−z=1x+5y-z=1 4x+3y−3z=74x+3y-3z=7 24x+y+λz=μ24x+y+\lambda z=\mu λ,μ∈R\lambda,\mu\in\mathbf{R}, have infinitely many solutions. Then…HardSingle correct
  4. 29 Jun 2022, Shift 1 · Q7If the system of linear equations 2x+y−z=72x + y - z = 7 x−3y+2z=1x - 3y + 2z = 1 x+4y+δz=kx + 4y + \delta z = k, where δ,k∈R\delta, k \in \mathbf{R} has…EasySingle correct