if a,b,c are complex numbers such that `a+b+c=0 and |a|=|b|=|c|=1` find the value of `1/a+1/b+1/c`

Let a,b,c be distinct complex numbers such that (a)/(1-b)=(b)/(1-c)=(c)/(1-a)=k. Find the value of k.

If a, b, c are positive real numbers such that a+b+c=1 , then the greatest value of (1-a)(1-b)(1-c), is

If a b c are positive real numbers such that a+b+c=1 then the least value of ((1+a)(1+b)(1+c))/((1-a)(1-b)(1-c)) is

Let a,b,c be three distinct complex numbers such that |a|=|b|=|c|=|b+c-a|=1 then 3-|b+c| is equal to

If a, b, c and d are four positive numbers such that a+b+c+d=4 , then what is the maximum value of (a+1)(b+1)(c+1)(d+1) ?

if a,b,c are all positive a+b+c=1 and (1-a)(1-b)(1-c)>=k(abc) then find the value of k

If a,b,c are distinct real numbers such that a+(1)/(b)=b+(1)/(c )=c+(1)/(a) , then evaluate abc.

If a ,\ b ,\ c >0 such that a+b+c=a b c , find the value of tan^(-1)a+tan^(-1)b+tan^(-1)c .

If a, b, c are positive and a + b + c = 1, then find the least value of (1)/(a)+(2)/(b)+(3)/(c)