If `a ,b` and `c` are all non-zero and `|[1+a,1, 1],[ 1,1+b,1],[1,1,1+c]|=0,` then prove that `1/a+1/b+1/c+1=0`

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 :

If a, b, c are all different from zero and Delta= |[1+a,1,1],[1,1+b,1],[1,1, 1+c]|=0 , then (1)/(a)+(1)/(b)+(1)/(c)=

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, 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, 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,1,1),(1,b,1),(1,1,c)|=0 then show that 1/(1-a)+1/(1-b)+1/(1-c)=1

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

Prove that |[1+a,1, 1], [1,1+b,1], [1, 1, 1+c]|=a b c(1+1/a+1/b+1/c)=a b c+b c+c a+a b

If a ,b ,c are real numbers such that 0 < a < 1,0 < b < 1,0 < c < 1,a+b+c=2, then prove that a/(1-a)b/(1-b)c/(1-c)geq8