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Let f(x) {{:((1)/(x),"when " x ge1),(a (...

Let `f(x) {{:((1)/(x),"when " x ge1),(a (x^(2)-1)+1, "when " x lt1):}` If `f'(1)` exists, then the value of a is-

A

`-1/2`

B

`1/2`

C

`-2`

D

2

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The correct Answer is:
A
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