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If alpha denotes the number of solutions...

If `alpha` denotes the number of solutions of `|1-i|^(x)=2^(x)` and `beta=((|z|)/(arg(z)))` ,where `z=(pi)/(4)(1+i)^(4)[(1-sqrt(pi)i)/(sqrt(pi)+i)+(sqrt(pi)-i)/(1+sqrt(pi)i)],i=sqrt(-1)` ,then the distance of the point `( alpha,beta)` from the line `4x-3y=7` is____________

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
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