" 53.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 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 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 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, 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, 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

If x,y,z are not all zero such that ax+y+z=0,x+by+z=0x+y+cz=0 then prove that (1)/(1-a)+(1)/(1-b)+(1)/(1-c)=1

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