Let a circle be given by $2x(x-a)+y(2y-b)=0(a\neq 0,b\neq ,0)$. If two chords, each bisected by the x-axis, can be drawn to the circle from $\displaystyle \left( a,\frac { b }{ 2 } \right) $, then ${ a }^{ 2 }>k{ b }^{ 2 }$, where $k=$
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