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Question

What is the quotient when  `(x^-1 -1)` is divided by (`x - 1)`


Options:
A .  `1/x`
B .  `2/x`
C .  `-1/x`
D .  `-2/x`
Answer: Option C

Sol.         `(x^-1 - 1)/(x - 1)`

              = `(1/x - 1)/(x - 1)`

               = `(1 - x)/x xx 1/(x - 1)`

                = `- 1/x`

Hence , the required quotient is `- 1/x`




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