What is the value of `|(1+a,1,1),(1,1+b,1),(1,1,1+c)|?`

If 1 + (1)/(a) + (1)/(b) + (1)/(c) = 0 , then Delta = |(1 +a,1,1),(1,1 +b,1),(1,1,1 +c)| is equal to

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

If a - (1/a) = b, b - (1 / b) = c and c - (1 / c) = a then what is the value of (1 / ab) + (1 / bc) + (1 / ca) ?

If the value of the determinant |(a,1,1),(1,b,1),(1,1,c)| is positive, where a ne be ne c , then the value of abc.

Is ((1)/(a)+(1)/(b)+(1)/(c )-1) a factor of |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}| ?

If a, b and c are non-zero real numbers and |(1+a,1,1),(1,1+b,1),(1,1,1+c)|=0 , then what is the value of (1)/(a) + (1)/(b) + (1)/(c) ?

If a, b and c satisfy the equation x^(3)-3x^(2) + 2x+1 =0 then what is the value of (1)/(a)+(1)/(b)+(1)/(c ) ?

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

If a,b, and c be non-zero real numbers such that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=0" " "then"" "1+1/a+1/b+1/c is