The value of `| (b+c, a, b),(c+a, c, a),(a+b, b, c) |=`

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

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

The value of |{:(1+a,b,c),(a,1+b,c),(a,b,1+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 the determinant |(b +c,a -b,a),(c +a,b -c,b),(a +b,c -a,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

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

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

Find the value of the determinant |{:(a^2,a b, a c),( a b,b^2,b c), (a c, b c,c^2):}|

Prove: |(a, b-c,c-b),( a-c, b, c-a),( a-b,b-a, c)|=(a+b-c)(b+c-a)(c+a-b)