JEE Main 2023 — Determinants Questions with Solutions

Consider the following system of questions α x + 2 y + z = 1 2 α x + 3 y + z = 1 3 x + α y + 2 z = &#946…

Let S denote the set of all real values of λ such that the system of equations λ x + y + z = 1 x + λ y +…

For the system of equations x + y + z = 6 x + 2 y + α z = 10 x + 3 y + 5 z = β , which one of the following i…

For α , β ∈ ℝ , suppose the system of linear equations x - y + z = 5 2 x + 2 y + α z = 8 3 x…

Let the system of linear equations x + y + k z = 2 2 x + 3 y - z = 1 3 x + 4 y + 2 z = k have infinitely many solutions…

If x + 1 x x x x + λ x x x x + λ 2 = 9 8 103 x + 81 , then λ ,   λ 3 are the roots of the equa…

Let S be the set of all values of θ ∈ [ - π , π ] for which the system of linear equations x + y +…

For the system of linear equations 2 x - y + 3 z = 5 3 x + 2 y - z = 7 4 x + 5 y + α z = β , which of the fol…

Let α be a root of the equation a - c x 2 + b - a x + c - b = 0 where a ,   b ,   c are distinct real nu…

Let N denote the number that turns up when a fair die is rolled. If the probability that the system of equations x + y…