SAT1000 - P844

Geometry Level pending

As shown above, F(1,0)F(1,0) is the focus of the parabola C:y2=4xC: y^2=4x, line l:y=k(x1)l: y=k(x-1) intersects with CC at point A,BA,B, and the perpendicular bisector of ABAB intersects with CC at point M,NM,N.

If A,M,B,NA,M,B,N are on the same circle, then find the value of 1000k\lfloor 1000|k| \rfloor.


Have a look at my problem set: SAT 1000 problems

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