If the value of the determinant | array lll a & 1 & 1 1 & ~b & 1 1 & 1 & c array | is positive, where a b c , then the value of a b c

Step-by-step solution

aligned & | array lll a & 1 & 1 1 & ~b & 1 1 & 1 & c array | 0 & a ( bc -1)-1( c -1)+1(1- b ) 0 & abc - a - c +1+1- b 0 & abc +2-( a + b + c ) 0 aligned abc ( a + b + c )-2 Let; a =-1 ; b =0 & c =1 Then; 0 -2 [which is correct] Hence, a b c=0 After considering all the option; (2) is correct option.