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If f(x) = { 3 + |x-k|, x leq k; a^2 -2 +...

If `f(x) = { 3 + |x-k|, x leq k; a^2 -2 + sin(x-k)/(x-k), xgtk}` has minimum at x =k, then show that `|a| >2`.

A

a`in`R

B

`|a|lt2`

C

`|a|gt2`

D

`1lt|a|lt2`

Text Solution

Verified by Experts

The correct Answer is:
C
`1+a^(2)-2gt3`
`|a|gt2`
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