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Friday, 9 October

JEE Main Maths · Determinants

Condition for No Solution

Condition for No Solution (Determinants) was asked 6 times in 6 JEE Main shifts, 2017–2026, out of the 42 shifts Lumi analysed.

Times asked
6
in 6 shifts
Years
2017–2026
Usual format
Single correct
Application
Pattern
Asked most years
repeats across shifts

How it is asked

  • Parameters for no solution of linear system
  • Condition for no solution of linear system

Difficulty

Easy 1Medium 5Hard 0

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 6 questions

Newest first, each with its options and official answer.

  1. 2 Apr 2026, Shift 1 · Q3Let α,β∈R\alpha, \beta \in \mathbf{R} be such that the system of linear equations x+2y+z=5x+2y+z=5 2x+y+αz=52x+y+\alpha z=5 8x+4y+βz=188x+4y+\beta z=18 has no…MediumSingle correct
  2. 24 Jun 2022, Shift 1 · Q6The number of values of α\alpha for which the system of equations : x+y+z=αx+y+z=\alpha αx+2αy+3z=−1\alpha x+2\alpha y+3z=-1 x+3αy+5z=4x+3\alpha y+5z=4 is…MediumSingle correct
  3. 25 Jul 2021, Shift 1 · Q79The values of a and b, for which the system of equations 2x+3y+6z=82x+3y+6z=8 x+2y+az=5x+2y+az=5 3x+5y+9z=b3x+5y+9z=b has no solution, are :EasySingle correct
  4. 8 Jan 2020, Shift 1 · Q53For which of the following ordered pairs (μ,δ)(\mu, \delta), the system of linear equations x+2y+3z=1x+2y+3z=1 3x+4y+5z=μ3x+4y+5z=\mu 4x+4y+4z=δ4x+4y+4z=\delta is…MediumSingle correct
  5. 2 Sep 2020, Shift 1 · Q55Let SS be the set of all λ∈R\lambda\in\mathbf{R} for which the system of linear equations 2x−y+2z=22x-y+2z=2 x−2y+λz=−4x-2y+\lambda z=-4…MediumSingle correct
  6. 2 Apr 2017 (offline) · Q65If S is the set of distinct values of 'b' for which the following system of linear equations x+y+z=1x+y+z=1 x+ay+z=1x+ay+z=1 ax+by+z=0ax+by+z=0 has no…MediumSingle correct