Let be an acute-angeled triangle and let be its orthocenter. For any point on the circumcircle of triangle , let be the point of the intersection of the line with the line . Show that there is a unique point on the circumcircle of such that for every point the circumcircle of pass through .
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Comments
I got this! I hope it is right.
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How?
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Take any other point say, Z and let AZ intersect BH at Y. And consider circle HYZ meeting circle ABC at X. Now,prove HQPX is a cyclic quad!
How many are you getting right? (Outta 6, right?)
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I solved 4
Dunno whether they are right or wrong
can someone give me the solution to this problem? plzz
Quite similar to one which came in Rajasthan paper, though more difficult.