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If x^(2)+25+sqrt(y-3)=10x-|z^(2)-4z+3|-|...

If `x^(2)+25+sqrt(y-3)=10x-|z^(2)-4z+3|-|z-1|-|sin omega-1|=0` then which of the following holds

A

`|x|+|y|=8`

B

`|x|+2+|z|=9`

C

`omega=(4n+1)(pi)/2, n epsilonI`

D

`|x|+|y|=6`

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