If a + b + c = 3 and a = b = c ≠ 1
Find \(\frac{1}{(1 - a) (1 - b)}\) + \(\frac{1}{(1 - b) (1 - c)}\) + \(\frac{1}{(1 - c) (1 - a)}\)
Answer & explanation
Correct answer: option 4
Here one equation and three variables are given
So, put any two = 0
b = c = 0
a + 0 + 0 = 3
a = 3 (put in find)
\(\frac{1}{(1 - 3) (1 - 0)}\) + \(\frac{1}{(1 - 0) (1 - 0)}\) + \(\frac{1}{(1 - 0) (1 - 3)}\)
- \(\frac{1}{2}\) + 1 - \(\frac{1}{2}\) = 0