AktiraAktira JEE
Subscribe
MathsJEE Main 22 Jan 2026, Shift 2·Q1·MCQ·Moderate

Matrices & Determinants · Consistency of linear equations

Let nn be the number obtained on rolling a fair die. If the probability that the system
x−ny+z=6x+(n−2)y+(n+1)z=8(n−1)y+z=1\begin{align*} x - ny + z &= 6\\ x + (n-2)y + (n+1)z &= 8\\ (n-1)y + z &= 1 \end{align*}
Has a unique solution is k6\dfrac{k}{6}, then the sum of kk and all possible values of nn is:
  1. (1)21
  2. (2)24
  3. (3)20
  4. (4)22

Video solution coming soon

We're animating every PYQ step by step. Subscribe to get them first.

Subscribe

See the full 22 Jan 2026, Shift 2 paper

More on Consistency of linear equations