If the value of the determinant |{:(a,1,...

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

A

abc`gt` 1

B

abc `gt`-8

C

abc `lt`-8

D

abc `gt`-2

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

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

The value of the determinant |{:(1 , x , x+ z) , (1 , y , z + x) , (1 , z , x + y):}| is

If C=2 cos theta , then the value of the determinant Delta= |[C,1,0],[1,C,1],[6,1,C]| is

Prove that {:|(1+a,1,1),(1,1+b,1),(1,1,1+c)|=abc+bc+ca+ab

If a , b, c are all different from zero and |(1+a,1,1),(1,1+b,1),(1,1,1+c)|=0 then the value of 1+1/a+1/b+1/c is :

Evaluate Delta = {:|(1,a,bc),( 1,b,ca),(1,c,ab)|:}

Using properties of determinants prove that : |(1+a,1,1),( 1,1+b,1),(1,1,1+c)| =abc +bc +ca +ab

The value of the determinant : |(1,1,1),(""^mC_1,""^(m+1)C_1,""^(m+2)C_1),(""^mC_2,""^(m+1)C_2,""^(m+2)C_2)| is equal to :