Algebra

sathyaram's Avatar
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11 Mar 2012 22:51:32 IST
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AIME geometry
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

 Point P lies on the diagonal AC of square ABCD with AP > CP. Let O1 and O2 be the circumcenters

of triangles ABP and CDP respectively. Given that AB = 12 and \O1PO2 = 120?, then AP = √a + √b where a
and b are positive integers. Find a + b.



Comments (5)

kartikAIR1's Avatar

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11 Mar 2012 23:42:01 IST
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is that angle o1po2 or area of triangle in ur que.??
kartikAIR1's Avatar

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12 Mar 2012 00:17:53 IST
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If it was angle, i got 96 . lyk if i m rite...: p7
sathyaram's Avatar

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12 Mar 2012 12:45:41 IST
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correct!pls explain!
kartikAIR1's Avatar

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12 Mar 2012 13:07:50 IST
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apologies....i will explain it., but wait for couple of days..let my xam finish. cg4 dis a = 72 and b = 24....... p7m6
sathyaram's Avatar

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12 Mar 2012 15:25:22 IST
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k dude :)



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