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If 4^x-2^(x+2)+5+||b-1|-3|-siny|, x , y ...

If `4^x-2^(x+2)+5+||b-1|-3|-siny|, x , y , b in R ,` then the possible value of `b` is_________

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The correct Answer is:
4
`(2^(2x)-4.2^(x)+4)+1+|""|b-1|-3|=|sin y|`
`or (2^(x)-2)^(2)+1+|""|b-1|-3|=|sin y|`
`LHS ge 1 and RHS le 1`
` :. 2^(x)=2,|b-1|-3=0`
` or (b-1)= +-3`
`or b=4, -2`
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