Jessore 2007 HS prob 11

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Labib
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Jessore 2007 HS prob 11

Unread post by Labib » Mon Dec 05, 2011 9:17 pm

1.png
Figure 1
1.png (3.96KiB)Viewed 5420 times
Given that,
in Figure 1, $2\angle BAM=\angle MAC; 2AC=AD.$
$\angle DBA= ?$
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Re: Jessore 2007 HS prob 11

Unread post by amlansaha » Tue Dec 06, 2011 7:46 pm

আমার মাথায় একটা সলুশন আসছে। দেখ তো:
প্রদত্ত শর্ত অনুযায়ী, $B$ বিন্দুর অবস্থান নির্দিষ্ট না। তাই ,
$[0<\angle DBA< ( 180^{\circ} -\angle BAM) \ ]
$
Last edited by amlansaha on Tue Dec 06, 2011 9:21 pm, edited 3 times in total.
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Re: Jessore 2007 HS prob 11

Unread post by Labib » Tue Dec 06, 2011 8:47 pm

অম্লান দা, আপনার লেটেক্স করায় সমস্যা হইসে, দেখা যাচ্ছে না...
তয় আপনের লেখাটা আমি দেখসি...
কথা হইল, সল্যুশন আছে $90^{\circ}$.
বুঝতেসি না, কি সমস্যা!!
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Re: Jessore 2007 HS prob 11

Unread post by amlansaha » Tue Dec 06, 2011 9:23 pm

লাটেক্স ঠিক করছি। কিন্তু $90^{\circ}$ কেমনে হয়?? :? :? :?
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Re: Jessore 2007 HS prob 11

Unread post by nafistiham » Tue Dec 06, 2011 10:34 pm

এখানে তো \angle DBA এর মানটা ধ্রুব থাকছে না । তাই না?
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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Re: Jessore 2007 HS prob 11

Unread post by amlansaha » Wed Dec 07, 2011 12:36 pm

nafistiham wrote:এখানে তো $\angle DBA$ এর মানটা ধ্রুব থাকছে না । তাই না?
আমিও সেটাই বলছি :S
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Re: Jessore 2007 HS prob 11

Unread post by Labib » Wed Dec 07, 2011 2:07 pm

আমিও তো এই সমস্যার আগা-মাথা বুঝি নাই...
এত দিন জ্যামিতি করার পর এই বিভাগীয় এর দুইটা জ্যামিতির একটাও করতে না পারলে মেজাজ খারাপ হয় না!!!
ওদিকে আরেকটা সমস্যা দিসিলাম না, Max value of $\angle APB$. ওটারও কেউ সমাধান দিচ্ছে না!!
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Re: Jessore 2007 HS prob 11

Unread post by bristy1588 » Wed Dec 07, 2011 6:40 pm

Tahole Solution ta ashole ki darailo??
Bristy Sikder

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Re: Jessore 2007 HS prob 11

Unread post by nafistiham » Wed Dec 07, 2011 6:46 pm

আমার যতদূর মনে পড়ে একটা টপিক দেখছিলাম এই সমস্যার উপর । মুন ভাইয়া বলছে যে এটাতে প্রয়োজনীয় তথ্য নাই ।
খুঁজে পাইলে লিঙ্কটা দিতাম
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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Re: Jessore 2007 HS prob 11

Unread post by Labib » Wed Dec 07, 2011 9:25 pm

থ্যাংকস... আমার ইজ্জত বাচাইলি, দোস্ত...
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