16 JEE Main 2022 Determinants previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2022 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 the system of equations x + y + z = 6 2 x + 5 y + α z = β x + 2 y + 3 z = 14 has infinitely many solutions…
Let p and p + 2 be prime numbers and let Δ = p ! p + 1 ! p + 2 ! p + 1 ! p + 2 ! p + 3 ! p + 2 ! p + 3 ! p + 4 ! T…
Let the system of linear equations x + 2 y + z = 2 , α x + 3 y - z = α , - α x + y + 2 z = - α be i…
The ordered pair a , b , for which the system of linear equations 3 x - 2 y + z = b 5 x - 8 y + 9 z = 3 2 x + y + a z =…
Let f x = a - 1 0 a x a - 1 a x 2 a x a , a ∈ R . Then the sum of the squares of all the values of a for 2 f ' 10…
If the system of linear equations. 8 x + y + 4 z = - 2 x + y + z = 0 λ x - 3 y = μ has infinitely many soluti…
The number of values of α for which the system of equations x + y + z = α α x + 2 α y + 3 z = - 1 x…
If the system of linear equations 2 x + y - z = 7 x - 3 y + 2 z = 1 x + 4 y + δ z = k , where δ , k ∈ R…
Let A be a 3 × 3 real matrix such that A 1 1 0 = 1 1 0 ; A 1 0 1 = - 1 0 1 and A 0 0 1 = 1 1 2 . If X = x 1  …
If the system of linear equations 2 x + 3 y - z = - 2 x + y + z = 4 x - y + λ z = 4 λ - 4 where λ ∈…
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