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Let C be the circle x^(2)+y^(2)=1 in the...

Let C be the circle `x^(2)+y^(2)=1` in the xy-plane . For each `tge0`, let `L_(t)` be the line passing through (0,1) and (t,0) . Note than `L_(t)` interesects C in two points, one of which is (0,1). Let `Q_(t)` be the other point. As t varies between 1 and `1+sqrt(2)` , the collection of points `Q_(1)` sweeps out an arc on C. The angle subtended by this arc at (0,0) is

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