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Statement 1 : If a circle S=0 intersects...

Statement 1 : If a circle `S=0` intersects a hyperbola `x y=4` at four points, three of them being (2, 2), (4, 1) and `(6,2/3),` then the coordinates of the fourth point are `(1/4,16)` . Statement 2 : If a circle `S=0` intersects a hyperbola `x y=c^2` at `t_1,t_2,t_3,` and `t_4` then `t_1.t_2.t_3.t_4=1`

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