11 JEE Main 2026 Determinants previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2026 previous-year questions from the Determinants chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Determinants chapter hub.
If f: N → Z is defined by f(n) = vmatrix n & -1 & -5 \ -2n² & 3(2k+1) & 2k+1 \ -3n³ & 3k(2k+1) & 3k(k+2)+1 vmatrix, k N…
If the system of equations x + 5y + 6z = 4, 2x + 3y + 4z = 7, x + 6y + az = b has infinitely many solutions, then the p…
The system of linear equations x+y+z=6 2 x+5 y+a z=36 x+2 y+3 z=b has
Let α, β R be such that the system of linear equations x + 2y + z = 5 2x + y + α z = 5 8x + 4y + β z = 18 has no soluti…
Consider the system of linear equations in x, y, z: x + 2y + tz = 0, 6x + y + 5tz = 0, 3x + t² y + f(t) z = 0, where f:…
If the system of equations: x+y+z=5 x+2y+3z=9 x+3y+λ z=µ has infinitely many solutions, then the value of λ+µ is:
The sum of all possible values of θ [0, 2π], for which the system of equations : x 3θ - 8y - 12z = 0 x 2θ + 3y + 3z = 0…
If the system of linear equations: x+y+z=6, x+2y+5z=10, 2x+3y+λ z=µ has infinitely many solutions, then the value of λ+…
Let n be the number obtained on rolling a fair die. If the probability that the system x-n y+z=6 x+(n-2) y+(n+1) z=8 (n…
If the system of equations 3 x+y+4 z=3 2 x+α y-z=-3 x+2 y+z=4 has no solution, then the value of α is equal to :
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