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Consider an ellipse E ,(x^2)/(a^2)+(y^2)...

Consider an ellipse `E ,(x^2)/(a^2)+(y^2)/(b^2)=1` , centered at point `O` andhaving `A B and C D` as its major and minor axes, respectively. If `S_1` is one of the focus of the ellipse, the radius of the incircle of triangle `O C S_1` is 1 unit, and `O S_1=6` units, then the value of `(a-b)/2` is_________

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