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Let f(x)={{:(a,","x=(pi)/(2)),((sqrt(2x-...

Let `f(x)={{:(a,","x=(pi)/(2)),((sqrt(2x-pi))/(sqrt(9+sqrt(2x-pi))-b),","xgt(pi)/(2)):}`. If `f(x)` is continuous at `x=(pi)/(2)`, then the value of `(a^(2))/(5b)` is

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`2.40`
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