The value of the determinant `|{:(1,0,-1),(a,1,1-a),(b,a,1+a-b):}|` depends on :

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

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

The value of the determinant {:abs((1,a,b+c),(1,b,c+a),(1 , c,a+b)):} is

if the value of the determinant |{:(a,,1,,1),(1,,b,,1),(1,,1,,c):}| is positivie then (a,b,c lt 0)

if the value of the determinant |{:(a,,1,,1),(1,,b,,1),(1,,1,,c):}| is positivie then (a,b,c lt 0)

The value of the determinant |{:(1,bc,a(b+c)),(1,ca,b(a+c)),(1, ab,c(a+b)):}| doesn't depend on

The value of the determinant |{:(1,bc,a(b+c)),(1,ca,b(a+c)),(1, ab,c(a+b)):}| doesn't depend on

If the value of the determinant |{:(a,1,1),(1,b,1),(1,1,c):}| is positive then

If the value of the determinant |{:(a,1,1),(1,b,1),(1,1,c):}| is positive then

The value of the determinant |(1+a, 1, 1),(1, 1+a, 1),(1, 1, 1+a)| is zero if (A) a=-3 (B) a=0 (C) a=2 (D) a=1