The value of `|[1,1,1],[b+c,c+a,a+b],[b+c-a,c+a-b,a+b-c]|` is

The value of Delta = |(1,a,b +c),(1,b,c +a),(1,c,a +b)| , is

|[a, 1, b+c], [b, 1, c+a], [c, 1, a+b]|=?

If a,b,c are in G.P. then the value of |(a,b,a+b),(b,c,b+c),(a+b,b+c,0)|= (A) 1 (B) -1 (C) a+b+c (D) 0

The value of the determinant /_\=|(1,1,1),(a,b,c),(a^3,b^3,c^3)| is (A) (a-b)(b-c)(c-a)(a+b+c) (B) abc(a+b)(b+C)(c+a) (C) (a-b)(b-c)(c-a) (D) none of these

If a, b and c are real numbers, then the value of the determinant |(1-a,a-b-c,b+c),(1-b,b-c-a,c+a),(1-c,c-a-b,a+b)| is

Show that |[1,a,a^2],[1,b,b^2],[1,c,c^2]|=(a-b)(b-c)(c-a)

Value of |(1,a,a^2),(1,b,b^2),(1,c,c^2)| is (A) (a-b)(b-c)(c-a) (B) (a^2-b^2)(b^2-c^2)(c^2-a^2) (C) (a-b+c)(b-c+a)(c+a-b) (D) none of these

If a,b,c are real numbers,then the value the |1-aquad a-b-cquad b+c| determinant det[[1-a,a-b-c,b+c1-b,b-c-a,c+a1-c,c-a-b,a+b]] is

Show without expanding that |[1,a, a^2],[ 1,b,b^2],[ 1,c,c^2]|=|[1,b c, b+c],[1,c a, c+a],[1,a b, a+b]|