JEE Main 2021 — Determinants Questions with Solutions

If the following system of linear equations 2 x + y + z = 5 x - y + z = 3 x + y + a   z = b has no solution, then :

Let a , b , c , d be in arithmetic progression with common difference λ . If x + a - c x + b x + a x - 1 x + c x +…

The value of k ∈ R , for which the following system of linear equations 3 x - y + 4 z = 3 x + 2 y - 3 z = - 2 6 x…

Let f x = sin 2 x - 2 + cos 2 x cos 2 x 2 + sin 2 x cos 2 x cos 2 x sin 2 x cos 2 x 1 + cos 2 x ,   x ∈ 0 ,…

Let A = [ x + 1 ] [ x + 2 ]     [ x + 3 ] [ x ]   [ x + 3 ]     [ x + 3 ] [ x ] [ x + 2 ] &#16…

Let the system of linear equations 4 x + λ y + 2 z = 0 2 x - y + z = 0 μ x + 2 y + 3 z = 0 ,   λ ,…

If α + β + γ = 2 π , then the system of equations x + cos γ y + cos β z = 0 cos γ x…

For real numbers α and β , consider the following system of linear equations: x + y - z = 2 ,   x + 2 y…

The values of λ and μ such that the system of equations x + y + z = 6 ,   3 x + 5 y + 5 z = 26 and x + 2…

Let [ λ ] be the greatest integer less than or equal to λ . The set of all values of λ for which the sys…