Visual SolutionPYQ 2024 · Apr 8 Shift 2Standard
Question
If α=a,β=b,γ=c and αaabβbccγ=0, then α−aa+β−bb+γ−cγ is equal to: Solution Path
Row operations and expansion yield α−aa+β−bb+γ−cγ=0. Given determinant =0 with α=a,β=b,γ=c. Find α−aa+β−bb+γ−cγ. Expression=? Apply R1→R1−R2 and R2→R2−R3 to simplify the determinant. Expand and divide by (α−a)(β−b)(γ−c) to get the expression equals 0. Expression=0 α−aa+β−bb+γ−cγ=0.