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`

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

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 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

a, b, c are reals such that a+b+c=3 and 1/(a+b) + 1/(b+c) + 1/ (c+a) = 10/3 . The value of a/(b+c) + b/(c+a) + c/(a+b) is________.

Show that |1a b_c1b c+a1c a+b|=0

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|=1,|b|=3 and |c|=5 , then the value of [a-b" "b-c" "c-a] is

If a+b+c=1 and a, b, c are positive real numbers such that (1-a)(1-b)(1-c)gelambda" abc, then "lambda =

Let A,B,C are 3 points on the complex plane represented by complex number a,b,c respectively such that |a|= |b|= |c|=1,a+b+c = abc=1 , then