| | Question 33

If a + b + c = 3, then the value of 1/(1 – a)(1 – b) + 1/(1 – b)(1 – c) + 1/(1 – c)(1 – a)
(A) 1
(B) 2
(C) 3
(D) 0


Answer: (D)

Explanation: 1/(1 – a)(1 – b) + 1/(1 – b)(1 – c) + 1/(1 – c)(1 – a)
=> [(1 – c) + (1 – a) + (1 – b)]/(1 – a)(1 – b)(1 – c)
=> [3 – (a + b + c)]/(1 – a)(1 – b)(1 – c)
=> 3 – 3 /(1 – a)(1 – b)(1 – c)
=> 0

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