3 JEE Main 2005 Determinants previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2005 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 a₁, a₂, a₃, …, an, … are in G.P., then the determinant Δ= |arraylll an & an₊₁ & an₊₂ \ an₊₃ & an₊₄ & an₊₅ \ an₊₆ & a…
The system of equations aligned & α x+y+z=α-1 \ & x+α y+z=α-1 \ & x+y+α z=α-1 aligned has no solution, if α is
If a²+b²+c²=-2 and f(x)= |arrayccc1+a² x & (1+b² ) x & (1+c² ) x \ (1+a² ) x & 1+b² x & (1+c² ) x \ (1+a² ) x & (1+b² )…