Simplification
- If a, b and c are non-zero, a + 1/b = 1 and b + 1/c = 1, then the value of abc is ?
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∵ a + 1/b = 1
ab + 1 = b ...(i)
Also, b + 1/c = 1
⇒ b = 1 - 1/c ...(ii)Correct Option: C
∵ a + 1/b = 1
ab + 1 = b ...(i)
Also, b + 1/c = 1
⇒ b = 1 - 1/c ...(ii)
From Eqs. (i) and (ii), we get
ab + a = 1 - 1/c
⇒ ab = -1/c
⇒ abc = -1
