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.

a ,b ,c are three complex numbers on the unit circle |z|=1, such that a b c=a+b+cdot Then find the value of |a b+b c+c a|dot

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 greatest value of (1-a)(1-b)(1-c), is

if b+c=a^2, c+a=b^2 and a+b=c^2 then find the value of 1/(1+a) + 1/(1+b) +1/(1+c)

a ,b ,c are three complex numbers on the unit circle |z|=1, such that a b c=a+b+c dot Then find the value of |a b+b c+c a|dot

a ,b ,c are three complex numbers on the unit circle |z|=1, such that a b c=a+b+c dot Then find the value of |a b+b c+c a|dot

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