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In R^2 let sqrt(3i) + hatj , hati + sqr...

In `R^2` let ` sqrt(3i) + hatj , hati + sqrt(3j) and beta hati + (1- beta)hatj` respectively be the position vedors of the points X, Y and Z with respect the origin O. If the distance of Z from the bisector of the acute angle between `OX` and `OY` is `(3)/(sqrt2),` then the possible values of `beta` is `"_______."`

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