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

If a ,b ,c are sides of a scalene triangle, then value of |[a, b, c] ,[b, c, a] ,[c, a, b]| is positive (b) negative non-positive (d) non-negative

The values of x for which the matrix [[x+a,b,c],[a,x+b,c],[a,b,x+c]] is non-singular are (A) R-{0} (B) R-{-(a+b+c)} (C) R-{0,-(a+b+c)} (D) none of these

The value of |{:(1+a,b,c),(a,1+b,c),(a,b,1+c):}| is

The value of the determinant |[a-b,b+c,a],[b-c,c+a,b],[c-a,a+b,c]| is

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 |(a-b,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

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

The value of |{:(1,1,1),(b+c,c+a,a+b),(b+c-a,c+a-b,a+b-c):}| is

If s=(a+b+c),then value of |{:(s+c,a,b),(c,s+a,b),(c,a,s+b):}| is

Let a ,b ,c be positive and not all equal. Show that the value of the determinant |[a, b, c],[b, c, a],[ c, a ,b]| is negative.